Question 1

$5 \times 9 ^ { x } = 41$

Accepted Answer

A)  $4.21$ 
B)  $9.48$ 
C)  $0.16$ 
D)  $0.96$

Question 2

Provide an appropriate response.
-A computer is purchased for $4600. Its value each year is about 76% of the value the preceding year. Find the value of the computer after 8 years.

Accepted Answer

A) $389.12 
B) $27,968.00 
C) $295.73 
D) $512.00

Question 3

Plot and label the given points.
-$(5,-4),(-2,3)$

Accepted Answer

The answer of Plot and label the given points.
-$(5,-4),(-2,3)$

...

Question 4

Provide an appropriate response.
- A negative slope means a line falling right.

Accepted Answer

A) True 
 B)False

Question 5

Solve the equation for the unknown quantity x.
-$\log _ { 10 } ( 1 + x ) = 1$

Accepted Answer

A)  $- 1$ 
B)  11 
C)  9 
D)  1

Question 6

Solve the equation for the unknown quantity x.
-$\log _ { 10 } x = 5.4$

Accepted Answer

A)  $420,262.36$ 
B)  $251,188.64$ 
C)  54 
D)  $59.4$

Question 7

In the following situation, state whether two variables are related in a way that might be described by a function. If so,
identify the independent and dependent variables.
-You are taking a road trip in a car and want to know how far you've traveled (read the odometer) at various times during your trip.

Accepted Answer

A) Independend variable, distance traveled; dependent variable, time 
B) Independend variable, time; dependent variable, distance traveled 
C) does not describe a function

Question 8

Provide an appropriate response.
-In the algebraic equation of a line, the y-intercept is denoted by the letter ______.

Accepted Answer

A) b 
B) m 
C) y 
D) x

Question 9

Provide an appropriate response.
-The process of measuring the ages of rocks, bones, pottery, or other solid objects that contain radioactive elements is called ________.

Accepted Answer

A) doubling time 
B) radioactive measuring 
C) half-life 
D) radioactive decay

Question 10

After 60 years, a population growing at a rate of 4% per year will have grown by
twice as many people as a population growing at a rate of 2% per year.

Accepted Answer

A) True 
 B)False

Question 11

Provide an appropriate response.
-If you create a graph showing how heart rate depends on biking speed, the range
should be heart rates from 60 to 180.

Accepted Answer

A) True 
 B)False

Question 12

Plot and label the given points.
-The population of a town with an initial population of 68,555 grows at a rate of 3.8% per year. Create an exponential function of the form Q 
$\mathrm { Q } = \mathrm { Q } _ { 0 } \times ( 1 + \mathrm { r } ) ^ { \mathrm { t } }$

Accepted Answer

A)  $Q = 68,555 \times ( 0.962 ) ^ { t }$ 
B)  $Q = 68,555 \times ( 1.038 ) ^ { t }$ 
C)  $Q = 68,555 \times ( 4.8 ) ^ { t }$ 
D)  $Q = 68,555 \times ( 0.924 ) ^ { t }$

Question 13

For the given function:
a)Describe an appropriate domain and range for the function.
b)Make a rough sketch of a graph of the function.
c)Briefly discuss the validity of your graph as a model of the true function.
-(hours worked, yearly wages)

Accepted Answer

The answer of For the given function:
a)Describe an appropriate domain...

Question 14

Provide an appropriate response.
-What is a mathematical representation of a function that provides detailed information but can become unwieldy?

Accepted Answer

A) Graph 
B) Equation 
C) Domain 
D) Data table

Question 15

For the given function:
a)Describe an appropriate domain and range for the function.
b)Make a rough sketch of a graph of the function.
c)Briefly discuss the validity of your graph as a model of the true function.
-(time spent studying, percentage on exam)

Accepted Answer

The answer of For the given function:
a)Describe an appropriate domain...

Question 16

Exponential functions are useful for modeling enviromental issues.

Accepted Answer

A) True 
 B)False

Question 17

The given situation involves a rate of change that you may assume to be constant. Write a statement that describes howone variable varies with respect to another, give the rate of change numerically (with units), and use the rate of changerule to answer the questions.
-A gas station owner finds that for every penny increase in the price of gasoline, she sells 1516 fewer gallons of gas per week. How much more or less gas will she sell if she raises the price by 10 cents
Per gallon? If she decreases the price by 2 cents per gallon?

Accepted Answer

A) At a particular gas station, sales decrease with respect to price by 1516 gallons per cent. The rate of change is 1516 gallons per cent. If the price is increased by 10 cents per gallon, the
Change in gas sales is 7580 gallons. If the price is decreased by 2 cents, gas sales increase by
-1516 gallons. 
B) At a particular gas station, sales decrease with respect to price by 1516 gallons per cent. The rate of change is -1516 gallons per cent. If the price is increased by 10 cents per gallon, the
Change in gas sales is -18,950 gallons. If the price is decreased by 2 cents, gas sales increase by
-3790 gallons. 
C) At a particular gas station, sales decrease with respect to price by 1516 gallons per cent. The rate of change is -1516 gallons per cent. If the price is increased by 10 cents per gallon, the
Change in gas sales is -15,160 gallons. If the price is decreased by 2 cents, gas sales increase by
3032 gallons. 
D) At a particular gas station, sales decrease with respect to price by 1516 gallons per cent. The rate of change is 1516 gallons per cent. If the price is increased by 10 cents per gallon, the
Change in gas sales is 11,370 gallons. If the price is decreased by 2 cents, gas sales increase by
2274 gallons.

Question 18

Provide an appropriate response.
-If prices increase at a monthly rate of 0.5%, by what percentage do they increase in a year?

Accepted Answer

A) 7.7% 
B) 6.2% 
C) 6% 
D) 4.6%

Question 19

Create the required linear function an use it to answer the question.
-Suppose that you were 22 inches long at birth and 3.5 feet tall on your tenth birthday. Based on these two data points, create a linear equation for the function that describes how height varies
With age. Use the equation to predict the height at age 2 and 41.

Accepted Answer

A)  $h = 22 + 6.4 a$; 26 inches; $284.4$ inches 
B)  $h = 22 + 2 a$; 26 inches; 104 inches 
C)  $h = 22 + 10.6 a ; 34.4$ inches; $456.6$ inches 
D)  $h = 22 - 2 a$; 18 inches; $- 60$ inches

Question 20

Solve the equation for the unknown quantity x.
-$2 ^ { 3 x } = 24$

Accepted Answer

A)  $3.06$ 
B)  $1.53$ 
C)  $0.65$ 
D)  $6.88$

Exam 9: Modeling Our World

$5 \times 9 ^ { x } = 41$

Provide an appropriate response. -A computer is purchased for $4600. Its value each year is about 76% of the value the preceding year. Find the value of the computer after 8 years.

Plot and label the given points. - $(5,-4),(-2,3)$

Provide an appropriate response. - A negative slope means a line falling right.

Solve the equation for the unknown quantity x. - $\log _ { 10 } ( 1 + x ) = 1$

Solve the equation for the unknown quantity x. - $\log _ { 10 } x = 5.4$

Provide an appropriate response. -In the algebraic equation of a line, the y-intercept is denoted by the letter ______.

Provide an appropriate response. -The process of measuring the ages of rocks, bones, pottery, or other solid objects that contain radioactive elements is called ________.

After 60 years, a population growing at a rate of 4% per year will have grown by twice as many people as a population growing at a rate of 2% per year.

Provide an appropriate response. -If you create a graph showing how heart rate depends on biking speed, the range should be heart rates from 60 to 180.

Plot and label the given points. -The population of a town with an initial population of 68,555 grows at a rate of 3.8% per year. Create an exponential function of the form Q $\mathrm { Q } = \mathrm { Q } _ { 0 } \times ( 1 + \mathrm { r } ) ^ { \mathrm { t } }$

For the given function: a)Describe an appropriate domain and range for the function. b)Make a rough sketch of a graph of the function. c)Briefly discuss the validity of your graph as a model of the true function. -(hours worked, yearly wages)

Provide an appropriate response. -What is a mathematical representation of a function that provides detailed information but can become unwieldy?

For the given function: a)Describe an appropriate domain and range for the function. b)Make a rough sketch of a graph of the function. c)Briefly discuss the validity of your graph as a model of the true function. -(time spent studying, percentage on exam)

Exponential functions are useful for modeling enviromental issues.

Provide an appropriate response. -If prices increase at a monthly rate of 0.5%, by what percentage do they increase in a year?

Solve the equation for the unknown quantity x. - $2 ^ { 3 x } = 24$

Exam 9: Modeling Our World

5×9x=415 \times 9 ^ { x } = 415×9x=41

Provide an appropriate response. -A computer is purchased for $4600. Its value each year is about 76% of the value the preceding year. Find the value of the computer after 8 years.

Plot and label the given points. - (5,−4),(−2,3)(5,-4),(-2,3)(5,−4),(−2,3)

Provide an appropriate response. - A negative slope means a line falling right.

Solve the equation for the unknown quantity x. - log⁡10(1+x) =1\log _ { 10 } ( 1 + x ) = 1log10​(1+x) =1

Solve the equation for the unknown quantity x. - log⁡10x=5.4\log _ { 10 } x = 5.4log10​x=5.4

Provide an appropriate response. -In the algebraic equation of a line, the y-intercept is denoted by the letter ______.

Provide an appropriate response. -The process of measuring the ages of rocks, bones, pottery, or other solid objects that contain radioactive elements is called ________.

After 60 years, a population growing at a rate of 4% per year will have grown by twice as many people as a population growing at a rate of 2% per year.

Provide an appropriate response. -If you create a graph showing how heart rate depends on biking speed, the range should be heart rates from 60 to 180.

Plot and label the given points. -The population of a town with an initial population of 68,555 grows at a rate of 3.8% per year. Create an exponential function of the form Q Q=Q0×(1+r) t\mathrm { Q } = \mathrm { Q } _ { 0 } \times ( 1 + \mathrm { r } ) ^ { \mathrm { t } }Q=Q0​×(1+r) t

For the given function: a)Describe an appropriate domain and range for the function. b)Make a rough sketch of a graph of the function. c)Briefly discuss the validity of your graph as a model of the true function. -(hours worked, yearly wages)

Provide an appropriate response. -What is a mathematical representation of a function that provides detailed information but can become unwieldy?

For the given function: a)Describe an appropriate domain and range for the function. b)Make a rough sketch of a graph of the function. c)Briefly discuss the validity of your graph as a model of the true function. -(time spent studying, percentage on exam)

Exponential functions are useful for modeling enviromental issues.

Provide an appropriate response. -If prices increase at a monthly rate of 0.5%, by what percentage do they increase in a year?

Solve the equation for the unknown quantity x. - 23x=242 ^ { 3 x } = 2423x=24

$5 \times 9 ^ { x } = 41$

Plot and label the given points. - $(5,-4),(-2,3)$

Solve the equation for the unknown quantity x. - $\log _ { 10 } ( 1 + x ) = 1$

Solve the equation for the unknown quantity x. - $\log _ { 10 } x = 5.4$

Plot and label the given points. -The population of a town with an initial population of 68,555 grows at a rate of 3.8% per year. Create an exponential function of the form Q $\mathrm { Q } = \mathrm { Q } _ { 0 } \times ( 1 + \mathrm { r } ) ^ { \mathrm { t } }$

Solve the equation for the unknown quantity x. - $2 ^ { 3 x } = 24$