AnswersAlgebraic ReasoningModeling with Functions

Practice Test Answers

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1
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Which is true of the regression model?

A
The graph of the regression model cannot be used to approximate the population size for year 1 .
B
The graph of the regression model is limited to whole-number values for x .
C
The graph of the regression model is limited to whole-number values for y .
D
The graph of the regression model can be used to predict the population size for any number of years in the future.
2
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Choose the function that represents the data.

A
f of x is equal to x squared plus 2 x
B
f of x is equal to 2 x squared
C
f of x is equal to 2 x
D
f of x is equal to the fraction with numerator x squared and denominator 2
3

Which statement describes the candle?

A
The candle starts at a height of 25 centimeters and burns at a rate of 0 point 6 2 5 centimeters per hour.
B
The candle starts at a height of 25 centimeters and burns at a rate of 2 point 5 centimeters per hour.
C
The candle starts at a height of 22 point 5 centimeters and burns at a rate of 2 point 5 centimeters per hour.
D
The candle starts at a height of 22 point 5 centimeters and burns at a rate of 0 point 6 2 5 centimeters per hour.
4

Choose the function represented by the data.

A
f of x is equal to 6 x plus 15
B
f of x is equal to negative 6 x minus 45
C
f of x is equal to negative x squared plus 10
D
f of x is equal to x squared minus 40
7

Which statement describes the bond?

A
The bond has an original value of 50 dollars and grows at a rate of 85 percent .
B
The bond has an original value of 57 point 7 0 dollars and grows at a rate of 15 percent .
C
The bond has an original value of 57 point 5 0 dollars and grows at a rate of 85 percent .
D
The bond had an original value of 50 dollars and grows at a rate of 15 percent .
8

If f of x is equal to e to the x th power and g of x is equal to x minus 4 , what is open paren g circ f close paren times x ?

A
open paren g circ f close paren times x is equal to e raised to the x minus 4 power
B
open paren g circ f close paren times x is equal to e to the x th power minus 4
C
open paren g circ f close paren times x is equal to e raised to the x minus 4 power minus 4
D
open paren g circ f close paren times x is equal to e to the x th power plus x minus 4
9

A car dealership is offering 1 dollars comma 500 cash back on the purchase of a new vehicle. The cost, after the cash back, of a new vehicle can be modeled by the function cap c times x is equal to x minus 1 comma 500 , where x is the original price of the vehicle. The vehicle is subject to a sales tax of 8 point 4 3 percent , so the total price of the vehicle is represented by the function cap p times cap c is equal to 1 point 0 8 4 3 cap c Which function can be used to represent the final price of the vehicle based on the original price, after the discount and tax have been applied?

A
cap p times open paren cap c times x close paren is equal to 1 point 0 8 4 3 x minus 1 comma 500
B
cap p times open paren cap c times x close paren is equal to 1 point 0 8 4 3 x minus 1 comma 626 point 4 5
C
cap c times open paren cap p times x close paren is equal to 1 point 0 8 4 3 x minus 1 comma 500
D
cap c times open paren cap p times x close paren is equal to 1 point 0 8 4 3 x minus 1 comma 626 point 4 5
10

Choose the function that represents the data in the table. x 0 1 2 3 4 5 y 0 3 12 27 48 75

A
y is equal to 3 x squared
B
y is equal to 2 x plus 3
C
y is equal to x squared plus 3
D
y is equal to x squared

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