Question 1

Which one of the following graphs represent the function: 
A) 
B) 
C) None of these options.
D) 
E)

Accepted Answer

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

Question 2

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)?
A) After 2 seconds, the height of the ball is 175 feet above ground.
B) After 2 seconds, the height of the ball is 143 feet above ground.
C) After 2 seconds, the height of the ball is 111 feet above ground.
D) After 2 seconds, the height of the ball is 32 feet above ground.
E) After 2 seconds, the height of the ball is 817 feet above ground.

Accepted Answer

We plug in t=2 into the function h(t) and get h(2) = 143. This means that after 2 seconds, the height of the ball is 143 feet above ground. Therefore, option B is correct.

Question 3

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

A) -9
B) 2
C) 9
D) 6
E) -3

Accepted Answer

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

Question 4

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? 
A) 61
B) 49
C) 38
D) 15
E) 83

Accepted Answer

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

Question 5

Consider the function f(x) = 4 x  7. What is the name of the function? What is the input? What is the output?
A) Name: f ; Input: x ; Output: 4 x  7
B) Name: f(x) ; Input: x ; Output: 4 x  7
C) Name: f(x) ; Input: 4 x  7; Output: x
D) Name: f(x) ; Input: x ; Output: f
E) Name: f ; Input: 4 x  7; Output: x

Accepted Answer

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

Question 6

Find the domain of  .
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Find the domain of  .
A) 
B)...

Question 7

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.
A) 96 feet
B) 47 feet
C) -143 feet
D) -96 feet
E) 3 feet

Accepted Answer

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

Question 8

Determine the domain and range of the function represented by the graph. 
A) Domain:  ; Range: 
B) Domain:  ; Range: 
C) Domain:  ; Range: 
D) Domain:  ; Range: 
E) Domain:  ; Range:

Accepted Answer

The answer of Determine the domain and range of the...

Question 9

Let f(x) = 3 x  + 4 x  4. Find f ( 4).
A) 48
B) -32
C) 32
D) 28
E) -68

Accepted Answer

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

Question 10

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?
A) 
B) Not enough information
C) 
D) 
E)

Accepted Answer

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

Question 11

Use the following graph to create an algebra model for the function. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The graph appears to be a linear function with a slope of -2 and a y-intercept of 5. Therefore, the best choice for the algebra model would be y = -2x + 5, which is equivalent to choice C).

Question 12

Which one of the following best describes the function  ?
A) The rule h is "divide the input by 4 and subtract 1, then multiply by 6."
B) The rule h is "multiply the input by 6 and subtract 1, then divide by 4."
C) The rule h is "multiply the input by 6 and divide by 4, then subtract 1."
D) The rule h is "divide 6 by 4 and multiply by the input, then subtract 1."
E) The rule h is "subtract 1 from the input and multiply by 6, then divide by 4."

Accepted Answer

The function states that "h is 11ec1b6e_3c37_43e0_bbf8_8fb451eb6eaa_TBX8728_11." This is not a meaningful description of the function. However, looking at the answer choices, only option B matches the format of "multiply, subtract, divide." The rule states to multiply the input by 6 and subtract 1, then divide by 4. Thus, the correct answer is B.

Question 13

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) 
B) 
C) 
D) 
E)

Accepted Answer

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

Question 14

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) The population of rabbits increased from approximately 5 rabbits to 83 rabbits.
B) The population of rabbits decreased from approximately 83 rabbits to 5 rabbits.
C) The population of rabbits increased from approximately 5 rabbits to 61 rabbits.
D) The population of rabbits was constant during this time period.
E) The population of rabbits decreased from approximately 61 rabbits to 5 rabbits.

Accepted Answer

Between day 3 and day 20, the graph shows a steady increase in the population of rabbits from approximately 5 rabbits to 61 rabbits.

Question 15

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  .
A) The cost of 33 hours of use of the club per month is $49.00.
B) The cost of 33 hours of use of the club per month is $50.80.
C) The cost of 33 hours of use of the club per month is $108.40.
D) The cost of 33 hours of use of the club per month is $23.40.
E) The cost of 33 hours of use of the club per month is $72.40.

Accepted Answer

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

Question 16

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?
A) 8 miles
B) 12 miles
C) 0 miles
D) 2 miles
E) 36 miles

Accepted Answer

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

Question 17

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) -195, decrease
B) 312, increase
C) -312, decrease
D) 195, increase
E) 39, increase

Accepted Answer

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

Question 18

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."
A) y = 7.5 x, where y represents the sales tax and x represents the purchase price.
B) x = 0.075 y, where x represents the sales tax and y represents the purchase price.
C) y = 0.075 + x , where y represents the sales tax and x represents the purchase price.
D) y = 0.075 x, where y represents the sales tax and x represents the purchase price.
E) y = 7.5 + x, where y represents the sales tax and x represents the purchase price.

Accepted Answer

The description states that the sales tax is 7.5% of the purchase price, which means the sales tax (y) is 7.5% (0.075) of the purchase price (x). Therefore, the equation that represents this relationship is y = 0.075x.

Question 19

Which one of the following represents the graph of  ?
A) 
B) 
C) 
D) 
E) None of the above

Accepted Answer

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

Question 20

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

A) 8
B) 7
C) 6
D) 9
E) 0

Accepted Answer

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

Quiz 1: Data, Functions, and Models

Which one of the following graphs represent the function:

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) ?

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

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?

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

Find the domain of .

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

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

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?

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

Which one of the following best describes the function ?

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. How did the population of rabbits change between day 3 and day 20?

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 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.

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."

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?