Question 1

Suppose $f$ is a linear function with $f ( 7 ) = 25.6$ and $$f ( 12 ) = 39.6$$ . Find an equation for $f$ .

Accepted Answer

A)  $f ( x ) = 0.36 x + 25.6$ 
B)  $f ( x ) = 25.6 x + 0.36$ 
C)  $f ( x ) = 2.8 x + 6$ 
D)  $f ( x ) = 6 x + 2.8$ 
A)  $f ( x ) = 0.36 x + 25.6$ 
B)  $f ( x ) = 25.6 x + 0.36$ 
C)  $f ( x ) = 2.8 x + 6$ 
D)  $f ( x ) = 6 x + 2.8$

Question 2

Solve the equation $2 x - 8 y = 9$ for $y$ .

Accepted Answer

A)  $y = \frac { 9 - 2 x } { 8 }$ or $y = 1.13 - 0.25 x$ 
B)  $y = \frac { 9 + 2 x } { 8 }$ or $y = 1.13 + 0.25 x$ 
C)  $y = \frac { 2 x - 9 } { 8 }$ or $y = 0.25 x - 1.13$ 
D)  None of the above. 
A)  $y = \frac { 9 - 2 x } { 8 }$ or $y = 1.13 - 0.25 x$ 
B)  $y = \frac { 9 + 2 x } { 8 }$ or $y = 1.13 + 0.25 x$ 
C)  $y = \frac { 2 x - 9 } { 8 }$ or $y = 0.25 x - 1.13$ 
D)  None of the above.

Question 3

Which of the tables below show linear data? $\overline { \text { Table } 1 }$

Table 2

Accepted Answer

A)  Table 1 only 
B)  Table 2 only 
C)  Both Table 1 and Table 2 
D)  Neither table is linear. 
A)  Table 1 only 
B)  Table 2 only 
C)  Both Table 1 and Table 2 
D)  Neither table is linear.

Question 4

Which of the tables below show linear data? Table 1

Table 2

Accepted Answer

A)  Table 1 only 
B)  Table 2 only 
C)  Both Table 1 and Table 2 
D)  Neither table is linear. 
A)  Table 1 only 
B)  Table 2 only 
C)  Both Table 1 and Table 2 
D)  Neither table is linear.

Question 5

Solve the equation $9 x - 7 y = 11$ for $y$ .

Accepted Answer

A)  $y = \frac { 11 - 9 x } { 7 }$ or $y = 1.57 - 1.29 x$ 
B)  $y = \frac { 11 + 9 x } { 7 }$ or $y = 1.57 + 1.29 x$ 
C)  $y = \frac { 9 x - 11 } { 7 }$ or $y = 1.29 x - 1.57$ 
D)  None of the above. 
A)  $y = \frac { 11 - 9 x } { 7 }$ or $y = 1.57 - 1.29 x$ 
B)  $y = \frac { 11 + 9 x } { 7 }$ or $y = 1.57 + 1.29 x$ 
C)  $y = \frac { 9 x - 11 } { 7 }$ or $y = 1.29 x - 1.57$ 
D)  None of the above.

Question 6

If a rock is thrown downward with an initial velocity of 8 feet per second, then its velocity $V$ , in feet per second, after   seconds is given by $V = 32 t + 8$ By how much does velocity increase over a 5-second period?

Accepted Answer

A)  32.54 feet per second 
B)  160.47 feet per second 
C)  32 feet per second 
D)  160 feet per second 
A)  32.54 feet per second 
B)  160.47 feet per second 
C)  32 feet per second 
D)  160 feet per second

Question 7

For a certain line, a run of 4 feet corresponds to a rise of 8 feet. What is the slope of this line?

Accepted Answer

A)  2 feet 
B)  0.5 feet 
C)  1.18 feet 
D)  2.76 feet 
A)  2 feet 
B)  0.5 feet 
C)  1.18 feet 
D)  2.76 feet

Question 8

Find a linear model for the following data table. $$\begin{array} { | l | l | l | l | l | } 
\hline x & 3 & 6 & 9 & 12 \
\hline y & 6 & 12 & 18 & 24 \
\hline
\end{array}$$

Accepted Answer

A)  $y = 2 x + 0$ 
B)  $y = 0 x + 2$ 
C)  $y = 6 x + - 12$ 
D)  $y = - 12 x + 6$ 
A)  $y = 2 x + 0$ 
B)  $y = 0 x + 2$ 
C)  $y = 6 x + - 12$ 
D)  $y = - 12 x + 6$

Question 9

The following table shows the gross national product G , in trillions of dollars,   years after 2005. Use linear regression to model G as a function of   .

Accepted Answer

A)  $G = 12.98 t + 0.36$ 
B)  $G = 0.36 t + 12.98$ 
C)  $G = 0.36 t + 12.73$ 
D)  $G = 0.82 t + 12.73$ 
A)  $G = 12.98 t + 0.36$ 
B)  $G = 0.36 t + 12.98$ 
C)  $G = 0.36 t + 12.73$ 
D)  $G = 0.82 t + 12.73$

Question 10

For a certain line, a run of 4 feet corresponds to a rise of 4 feet. What is the slope of this line?

Accepted Answer

A)  1 feet 
B)  1 feet. 
C)  1.53 feet 
D)  1.54 feet 
A)  1 feet 
B)  1 feet. 
C)  1.53 feet 
D)  1.54 feet

Question 11

A line through (8, 5) has slope 1.45. What is the vertical intercept?

Accepted Answer

A)  4.6 
B)  -6.6 
C)  -5.75 
D)  4.55 
A)  4.6 
B)  -6.6 
C)  -5.75 
D)  4.55

Question 12

Which of the tables below show linear data? $\overline { \text { Table } 1 }$

Table 2

Accepted Answer

A)  Table 1 only 
B)  Table 2 only 
C)  Both Table 1 and Table 2 
D)  Neither table is linear. 
A)  Table 1 only 
B)  Table 2 only 
C)  Both Table 1 and Table 2 
D)  Neither table is linear.

Question 13

We have $16.33 to spend on vegetable plants for our garden. Tomato plants cost $0.81 each, and pepper plants cost $0.38 each. There is space in the garden for 26 plants.
How many of each are bought?

Accepted Answer

A)  13 tomatoes and 13 peppers. 
B)  11 tomatoes and 15 peppers 
C)  13 tomatoes and 13 peppers 
D)  15 tomatoes and 11 peppers 
A)  13 tomatoes and 13 peppers. 
B)  11 tomatoes and 15 peppers 
C)  13 tomatoes and 13 peppers 
D)  15 tomatoes and 11 peppers

Question 14

Find a linear model for the following data table.

Accepted Answer

A)  $y = 2 x + 3$ 
B)  $y = 3 x + 2$ 
C)  $y = 4 x + 1$ 
D)  $y = 1 x + 4$ 
A)  $y = 2 x + 3$ 
B)  $y = 3 x + 2$ 
C)  $y = 4 x + 1$ 
D)  $y = 1 x + 4$

Question 15

Find a linear model for the following data table. $$\begin{array} { | l | l | l | l | l | } 
\hline x & 1 & 3 & 5 & 7 \
\hline y & 7 & 11 & 15 & 19 \
\hline
\end{array}$$

Accepted Answer

A)  $y = 2 x + 5$ 
B)  $y = 5 x + 2$ 
C)  $y = 4 x + 3$ 
D)  $y = 3 x + 4$ 
A)  $y = 2 x + 5$ 
B)  $y = 5 x + 2$ 
C)  $y = 4 x + 3$ 
D)  $y = 3 x + 4$

Question 16

At a distance 5 miles west of town, oil-bearing deposits are found 3044 feet deep. Also, 8 miles west of town, the oil is found 3164 feet down. Assuming the oil-bearing stratum lies on a straight line,
How deep would you expect to drill 10 miles west of town in order to find oil?

Accepted Answer

A)  3124 feet 
B)  3124.35 feet 
C)  3244.77 feet 
D)  3244 feet 
A)  3124 feet 
B)  3124.35 feet 
C)  3244.77 feet 
D)  3244 feet

Question 17

At a distance 5 miles west of town, oil-bearing deposits are found 3187 feet deep. Also, 8 miles west of town, the oil is found 3382 feet down. Assuming the oil-bearing stratum lies on a straight line,
How deep would you expect to drill 10 miles west of town in order to find oil?

Accepted Answer

A)  3317 feet 
B)  3317.95 feet 
C)  3512.38 feet 
D)  3512 feet 
A)  3317 feet 
B)  3317.95 feet 
C)  3512.38 feet 
D)  3512 feet

Question 18

The following table shows the number C , in millions, of cars sold in the U.S.   years after 2005. Use the regression line for the data to estimate the number of cars sold in 2011. $$\begin{array} { | l | l | l | l | l | } 
\hline t & 0 & 1 & 3 & 5 \
\hline C & 5.55 & 5.48 & 5.21 & 4.56 \
\hline
\end{array}$$

Accepted Answer

A)  4.12 million 
B)  5.41 million 
C)  3.44 million 
D)  4.44 million 
A)  4.12 million 
B)  5.41 million 
C)  3.44 million 
D)  4.44 million

Question 19

The following table shows the running speed   , in centimeters per second, of ants as a func- tion of the temperature $T$ in degrees Celsius. Use linear regression to model running speed as a function of
Temperature. $$\begin{array} { | l | l | l | l | l | } 
\hline T & 25.6 & 30.3 & 32.3 & 34.8 \
\hline R & 2.22 & 3.85 & 4.06 & 5.29 \
\hline
\end{array}$$

Accepted Answer

A)  $R = 0.35 T + 2.22$ 
B)  $T = 0.35 R + 2.22$ 
C)  $R = 0.32 T - 5.97$ 
D)  $T = 0.32 R - 5.97$ 
A)  $R = 0.35 T + 2.22$ 
B)  $T = 0.35 R + 2.22$ 
C)  $R = 0.32 T - 5.97$ 
D)  $T = 0.32 R - 5.97$

Question 20

Suppose $f$ is a linear function with $f ( 8 ) = 27.92$ and $f ( 11 ) = 35.39$ . Find an equation for $f$ .

Accepted Answer

A)  $f ( x ) = 0.4 x + 27.92$ 
B)  $f ( x ) = 27.92 x + 0.4$ 
C)  $f ( x ) = 2.49 x + 8$ 
D)  $f ( x ) = 8 x + 2.49$ 
A)  $f ( x ) = 0.4 x + 27.92$ 
B)  $f ( x ) = 27.92 x + 0.4$ 
C)  $f ( x ) = 2.49 x + 8$ 
D)  $f ( x ) = 8 x + 2.49$

Suppose $f$ is a linear function with $f ( 7 ) = 25.6$ and $f ( 12 ) = 39.6$ . Find an equation for $f$ .

Solve the equation $2 x - 8 y = 9$ for $y$ .

Which of the tables below show linear data? $\overline { \text { Table } 1 }$ $Which of the tables below show linear data? \overline { \text { Table } 1 } Table 2$ Table 2 $Which of the tables below show linear data? \overline { \text { Table } 1 } Table 2$

Which of the tables below show linear data? Table 1 Table 2

Solve the equation $9 x - 7 y = 11$ for $y$ .

If a rock is thrown downward with an initial velocity of 8 feet per second, then its velocity $V$ , in feet per second, after seconds is given by $V = 32 t + 8$ By how much does velocity increase over a 5-second period?

For a certain line, a run of 4 feet corresponds to a rise of 8 feet. What is the slope of this line?

Find a linear model for the following data table. x 3 6 9 12 y 6 12 18 24

The following table shows the gross national product G , in trillions of dollars, years after 2005. Use linear regression to model G as a function of .

For a certain line, a run of 4 feet corresponds to a rise of 4 feet. What is the slope of this line?

A line through (8, 5) has slope 1.45. What is the vertical intercept?

Which of the tables below show linear data? $\overline { \text { Table } 1 }$ $Which of the tables below show linear data? \overline { \text { Table } 1 } Table 2$ Table 2 $Which of the tables below show linear data? \overline { \text { Table } 1 } Table 2$

We have $16.33 to spend on vegetable plants for our garden. Tomato plants cost $0.81 each, and pepper plants cost $0.38 each. There is space in the garden for 26 plants. How many of each are bought?

Find a linear model for the following data table.

Find a linear model for the following data table. x 1 3 5 7 y 7 11 15 19

At a distance 5 miles west of town, oil-bearing deposits are found 3044 feet deep. Also, 8 miles west of town, the oil is found 3164 feet down. Assuming the oil-bearing stratum lies on a straight line, How deep would you expect to drill 10 miles west of town in order to find oil?

At a distance 5 miles west of town, oil-bearing deposits are found 3187 feet deep. Also, 8 miles west of town, the oil is found 3382 feet down. Assuming the oil-bearing stratum lies on a straight line, How deep would you expect to drill 10 miles west of town in order to find oil?

Suppose $f$ is a linear function with $f ( 8 ) = 27.92$ and $f ( 11 ) = 35.39$ . Find an equation for $f$ .

Functions

Graphical and Tabular Analysi

Exponential Functions

Filters

Exam 3: Straight Lines and Linear Functions

Suppose fff is a linear function with f(7)=25.6f ( 7 ) = 25.6f(7)=25.6 and f(12)=39.6f ( 12 ) = 39.6f(12)=39.6 . Find an equation for fff .

Solve the equation 2x−8y=92 x - 8 y = 92x−8y=9 for yyy .

Which of the tables below show linear data? Table 1‾\overline { \text { Table } 1 } Table 1 Table 2

Which of the tables below show linear data? Table 1 Table 2

Solve the equation 9x−7y=119 x - 7 y = 119x−7y=11 for yyy .

If a rock is thrown downward with an initial velocity of 8 feet per second, then its velocity VVV , in feet per second, after seconds is given by V=32t+8V = 32 t + 8V=32t+8 By how much does velocity increase over a 5-second period?

For a certain line, a run of 4 feet corresponds to a rise of 8 feet. What is the slope of this line?

Find a linear model for the following data table. x 3 6 9 12 y 6 12 18 24

The following table shows the gross national product G , in trillions of dollars, years after 2005. Use linear regression to model G as a function of .

For a certain line, a run of 4 feet corresponds to a rise of 4 feet. What is the slope of this line?

A line through (8, 5) has slope 1.45. What is the vertical intercept?

Which of the tables below show linear data? Table 1‾\overline { \text { Table } 1 } Table 1 Table 2

We have $16.33 to spend on vegetable plants for our garden. Tomato plants cost $0.81 each, and pepper plants cost $0.38 each. There is space in the garden for 26 plants. How many of each are bought?

Find a linear model for the following data table.

Find a linear model for the following data table. x 1 3 5 7 y 7 11 15 19

At a distance 5 miles west of town, oil-bearing deposits are found 3044 feet deep. Also, 8 miles west of town, the oil is found 3164 feet down. Assuming the oil-bearing stratum lies on a straight line, How deep would you expect to drill 10 miles west of town in order to find oil?

At a distance 5 miles west of town, oil-bearing deposits are found 3187 feet deep. Also, 8 miles west of town, the oil is found 3382 feet down. Assuming the oil-bearing stratum lies on a straight line, How deep would you expect to drill 10 miles west of town in order to find oil?

The following table shows the number C , in millions, of cars sold in the U.S. years after 2005. Use the regression line for the data to estimate the number of cars sold in 2011. t 0 1 3 5 C 5.55 5.48 5.21 4.56

The following table shows the running speed , in centimeters per second, of ants as a func- tion of the temperature TTT in degrees Celsius. Use linear regression to model running speed as a function of Temperature. T 25.6 30.3 32.3 34.8 R 2.22 3.85 4.06 5.29

Suppose fff is a linear function with f(8)=27.92f ( 8 ) = 27.92f(8)=27.92 and f(11)=35.39f ( 11 ) = 35.39f(11)=35.39 . Find an equation for fff .

Functions

Graphical and Tabular Analysi

Exponential Functions

Filters

Suppose $f$ is a linear function with $f ( 7 ) = 25.6$ and $f ( 12 ) = 39.6$ . Find an equation for $f$ .

Solve the equation $2 x - 8 y = 9$ for $y$ .

Which of the tables below show linear data? $\overline { \text { Table } 1 }$ $Which of the tables below show linear data? \overline { \text { Table } 1 } Table 2$ Table 2 $Which of the tables below show linear data? \overline { \text { Table } 1 } Table 2$

Solve the equation $9 x - 7 y = 11$ for $y$ .

If a rock is thrown downward with an initial velocity of 8 feet per second, then its velocity $V$ , in feet per second, after seconds is given by $V = 32 t + 8$ By how much does velocity increase over a 5-second period?

Which of the tables below show linear data? $\overline { \text { Table } 1 }$ $Which of the tables below show linear data? \overline { \text { Table } 1 } Table 2$ Table 2 $Which of the tables below show linear data? \overline { \text { Table } 1 } Table 2$

Suppose $f$ is a linear function with $f ( 8 ) = 27.92$ and $f ( 11 ) = 35.39$ . Find an equation for $f$ .