Question 1

The distance d (in miles) that a car travels based on the amount of time t (in seconds) is given by the equation d = 3 t   2 t . What is the net change in distance d when the time t changes from 0 to 2 seconds?

Accepted Answer

The answer of The distance d (in miles) that a...

Question 2

The temperature (in ° F) of a town is taken at the beginning of each hour throughout one day starting at 5 a.m. Let T be the function defined by T(x) = temperature of the town at time x . Which one of the following graphs represents this scenario?

Accepted Answer

The answer of The temperature (in ° F) of a...

Question 3

Which one of the following graphs represent the function:

Accepted Answer

The answer of Which one of the following graphs represent...

Question 4

Which one of the following represents the graph of  ?

Accepted Answer

The answer of Which one of the following represents the...

Question 5

Given the table below find the net change in the variable y as x changes from 1 to 4?

Accepted Answer

The answer of Given the table below find the net...

Question 6

Use the following graph to create an algebra model for the function.

Accepted Answer

The answer of Use the following graph to create an...

Question 7

Find the domain of  .

Accepted Answer

The answer of Find the domain of  .
...

Question 8

A ball is thrown straight upward from a bridge and then falls all the way to the ground (past the bridge). The ball s height h (in feet) above the ground t seconds after the ball is thrown is given by h(t) =  16 t  + 48 t + 111. Find the net change in the height of the ball from time t = 1 seconds to t = 4 seconds.

Accepted Answer

The answer of A ball is thrown straight upward from...

Question 9

The cost of college tuition for 12 credit hours at a local college during 2000 to 2008 is shown in the table below. Find the net change in the cost of college tuition from 2000 to 2005 and state if the net change was an increase or decrease.

Accepted Answer

The answer of The cost of college tuition for 12...

Question 10

A population of rabbits was tracked over a 55-day period. The data is shown in the following graph. How did the population of rabbits change between day 3 and day 20?

Accepted Answer

From day 3 to day 20, the population of rabbits increased from approximately 5 rabbits to 61 rabbits.

Question 11

A membership to a local fitness club costs $29 per month. The membership includes 10 hours of use of the club. If you want to use the club more than 10 hours per month it will cost an additional $1.55 per hour. Which of the following functions model this situation?

Accepted Answer

The answer of A membership to a local fitness club...

Question 12

A population of rabbits was tracked over a 55-day period. The data is shown in the following graph. What was the maximum number of rabbits during this time period?

Accepted Answer

The answer of A population of rabbits was tracked over...

Question 13

Given the table below find the net change in the variable y as x changes from 2 to 4?

Accepted Answer

The answer of Given the table below find the net...

Question 14

The verbal description below can be represented algebraically by which one of the following equations?
"To find the sales tax take 7.5% of the purchase price."

Accepted Answer

The verbal description states that to find the sales tax, 7.5% of the purchase price must be taken. This can be represented algebraically as y = 0.075x, where y represents the sales tax and x represents the purchase price. This equation shows that the sales tax is equal to 7.5% of the purchase price.

Question 15

Let f(x) = 3 x  + 4 x  4. Find f ( 4).

Accepted Answer

The answer of Let f(x) = 3 x  +...

Question 16

Consider the function f(x) = 4 x  7. What is the name of the function? What is the input? What is the output?

Accepted Answer

The answer of Consider the function f(x) = 4 x...

Question 17

A membership to a local fitness club costs $49 per month. The membership includes 20 hours of use of the club. If you want to use the club more than 20 hours per month it will cost an additional $1.80 per hour. Let C represent the cost of the membership and x represent the number of hours of use of the club. Find and interpret  .

Accepted Answer

The answer of A membership to a local fitness club...

Question 18

Determine the domain and range of the function represented by the graph.

Accepted Answer

The domain is the set of all input values, which in this case is the set of all x-coordinates of the points on the graph. From the graph, it can be seen that the smallest and largest x-values on the graph are -3 and 3, respectively. Therefore, the domain is the interval [-3,3]. The range is the set of all output values, which in this case is the set of all y-coordinates of the points on the graph. From the graph, it can be seen that the smallest and largest y-values on the graph are -2 and 1, respectively. Therefore, the range is the interval [-2,1]. Choice D is the only option that provides the correct domain and range for the given graph.

Question 19

A ball is thrown straight upward from a bridge and then falls all the way to the ground (past the bridge). The ball s height h (in feet) above the ground t seconds after the ball is thrown is given by h(t) =  16 t  + 48 t + 111. What is the meaning of h (2)?

Accepted Answer

To find the meaning of h(2), we substitute 2 for t in the given function for h(t).
h(2) = 11e^(16(2)) + 48(2) + 111
h(2) = 11e^32 + 96 + 111
h(2) ≈ 143
Therefore, after 2 seconds the height of the ball is approximately 143 feet above ground. The best choice is B.

Question 20

Which one of the following best describes the function  ?

Accepted Answer

The function indicates that the input is first multiplied by 6 and then subtracted by 1. Finally, the result is divided by 4. Therefore, the function is best described by choice B.

Quiz 1: Building Blocks of Algebra

The distance d (in miles) that a car travels based on the amount of time t (in seconds) is given by the equation d = 3 t 2 t . What is the net change in distance d when the time t changes from 0 to 2 seconds?

The temperature (in ° F) of a town is taken at the beginning of each hour throughout one day starting at 5 a.m. Let T be the function defined by T(x) = temperature of the town at time x . Which one of the following graphs represents this scenario?

Which one of the following graphs represent the function:

Which one of the following represents the graph of ?

Given the table below find the net change in the variable y as x changes from 1 to 4?

Use the following graph to create an algebra model for the function.

Find the domain of .

The cost of college tuition for 12 credit hours at a local college during 2000 to 2008 is shown in the table below. Find the net change in the cost of college tuition from 2000 to 2005 and state if the net change was an increase or decrease.

A population of rabbits was tracked over a 55-day period. The data is shown in the following graph. How did the population of rabbits change between day 3 and day 20?

A membership to a local fitness club costs $29 per month. The membership includes 10 hours of use of the club. If you want to use the club more than 10 hours per month it will cost an additional $1.55 per hour. Which of the following functions model this situation?

A population of rabbits was tracked over a 55-day period. The data is shown in the following graph. What was the maximum number of rabbits during this time period?

Given the table below find the net change in the variable y as x changes from 2 to 4?

The verbal description below can be represented algebraically by which one of the following equations? "To find the sales tax take 7.5% of the purchase price."

Let f(x) = 3 x + 4 x 4. Find f ( 4) .

Consider the function f(x) = 4 x 7. What is the name of the function? What is the input? What is the output?

Determine the domain and range of the function represented by the graph.

A ball is thrown straight upward from a bridge and then falls all the way to the ground (past the bridge) . The ball s height h (in feet) above the ground t seconds after the ball is thrown is given by h(t) = 16 t + 48 t + 111. What is the meaning of h (2) ?

Which one of the following best describes the function ?