Deck 1: Graphs and Models

Question 1

all intercepts:

Answer 1

C

Question 2

Answer 2

B

Question 3

Table given below shows the Consumer Price Index (CPI) for selected years. The mathematical model for the data given below is $y = - 0.031 t ^ { 2 } + 5.887 t + 24.429$ , where $y$ represents the CPI and $t$ represents the year, with $t = 5$ corresponding to 1975 . Use the model to predict the CPI for the year 2010. Round your answer to the nearest integer.
$\begin{array}{|c|c|c|c|c|c|c|c|}\hline \text { ear } & 975 & 980 & 985 & 990 & 995 & 000 & 005 \\\hline \text { PI } & 2.8 & 0 & 06.6 & 30.7 & 52.4 & 71.2 & 94.3 \\\hline\end{array}$

A) $y = 211$
B) $y = 209$
C) $y = 192$
D) $y = 173$
E) $y = 210$

Answer 3

E

Question 4

Question 5

for symmetry with respect to each axis and to the origin.

Question 6

Sketch the graph of the equation:

Question 7

Estimate the slope of the line from the graph.

Question 8

Sketch the graph of the equation:

Question 9

for symmetry with respect to each axis and to the origin.

Question 10

Question 11

Question 12

Question 13

Question 14

the points of intersection of the graphs of the equations:

Question 15

all intercepts:

Question 16

table given below shows the Consumer Price Index (CPI) for selected years. Use a

Question 17

Sketch the graph of the equation:

Question 18

table given below shows the Consumer Price Index (CPI) for selected years. Use the

Question 19

all intercepts:

Question 20

Question 21

the slope of the line passing through the pair of points.

Question 22

Question 23

Question 24

moving conveyor is built to rise 1 meter for every 5 meters of horizontal change. Suppose the conveyor runs between two floors in a factory. Find the length of the conveyor if the
Vertical distance between floors is 10 meters. Round your answer to the nearest meter.

A)61 meters
B)39 meters
C)51 meters
D)50 meters
E)41 meters

Question 25

Question 26

Question 27

Write an equation of the line that passes through the given point and is parallel to the given line. $\begin{array}{cc}\text { Point } & \text { Line } \\(3,-4) & -2 x-5 y=9\end{array}$

A) $- 2 x - 5 y = 14$
B) $- 2 x - 5 y = 23$
C) $2 x - 5 y = 14$
D) $- 2 x + 5 y = - 26$
E) $2 x - 5 y = 23$

Question 28

following points does the line also pass?

Question 29

Question 30

Question 31

Question 32

Question 33

Question 34

Question 35

Question 36

Question 37

moving conveyor is built to rise 5 meters for every 7 meters of horizontal change. Find the slope of the conveyor.

Question 38

Question 39

that is undefined.

Question 40

Write an equation of the line that passes through the given point and is perpendicular to the given line. $\begin{array}{cl}\text { Point } & \text { Line } \\(-1,-7) & x=6\end{array}$

A) $y = 7$
B) $y = - 7$
C) $y = - 1$
D) $x = - 1$
E) $x = 1$

Question 41

Question 42

Question 43

Question 44

Determine whether y is a function of x.

Question 45

Question 46

Question 47

Question 48

Question 49

Question 50

Question 51

Question 52

Determine whether y is a function of x.

Question 53

Question 54

Question 55

result.

Question 56

Question 57

Question 58

Question 59

Question 60

Question 61

Determine which type of function would be most appropriate to fit the given data.

Question 62

an experiment, students measured the speed s (in meters per second) of a falling

Question 63

Determine whether the function is even, odd, or neither.

Question 64

following ordered pairs represent temperatures in degrees Fahrenheit taken each

Question 65

Which function below would be most appropriate model for the given data?

A)no apparent relationship between x and y
B)trigonometric
C)quadratic
D)linear

Question 66

horsepower H required to overcome wind drag on a certain automobile is

Question 67

Question 68

Hooke's Law states that the force F required to compress or stretch a spring (within

Question 69

centimeters on a side by cutting equal squares from the corners and turning up the sides (see figure). Write the volume

Question 70

Question 71

Determine whether the function is even, odd, or neither.

Question 72

ordered pair gives the exposure index x of a carcinogenic substance and the

Question 73

the coordinates of a second point on the graph of a function f if the given point

Question 74

an experiment, students measured the speed s (in meters per second) of a falling

Question 75

the coordinates of a second point on the graph of a function f if the given point

Question 76

Students in a lab measured the breaking strength S (in pounds) of wood 2 inches

Question 77

an experiment, students measured the speed s (in meters per second) of a falling

Question 78

Hooke's Law states that the force F required to compress or stretch a spring (within

Question 79

Students in a lab measured the breaking strength S (in pounds) of wood 2 inches

Question 80

Hooke's Law states that the force F required to compress or stretch a spring (within