AnswersAlgebra IIRate of Change

Rate of Change — Quiz Answers

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Which relation is a direct variation that contains the ordered pair open paren 2 comma 7 close paren ?

A
y is equal to 7 halves x
B
y is equal to 4 x minus 1
C
y is equal to 7 over x
D
y is equal to 2 sevenths x
2
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If y varies directly as x , and y is 48 when x is 6 , which expression can be used to find the value of y when x is 2 ?

A
y is equal to 48 sixths times 2
B
y is equal to the fraction with numerator 2 and denominator 48 times 6
C
y is equal to 6 over 48 times 2
D
y is equal to the fraction with numerator 48 times 6 and denominator 2
3

Maria created a graph of cap b times t , the temperature over time. For the interval between t is equal to 3 and t is equal to 7 , the average rate of change in her graph of cap b times t is 8 Which statement must be true?

A
The temperature was 2 degrees higher when t is equal to 7 than when t is equal to 3 .
B
The temperature was 8 degrees higher when t is equal to 7 than when t is equal to 3 .
C
The temperature was 8 times higher when t is equal to 7 than when t is equal to 3 .
D
The temperature was 32 degrees higher when t is equal to 7 than when t is equal to 3 .
4

The average rate of change of g of x between x is equal to 4 and x is equal to 7 is 5 sixths Which statement must be true?

A
the fraction with numerator g of 7 minus g of 4 and denominator 7 minus 4 is equal to 5 sixths
B
g of 7 minus g of 4 is equal to 5 sixths
C
the fraction with numerator g of open paren 7 minus 4 close paren and denominator 7 minus 4 is equal to 5 sixths
D
g of 7 over g of 4 is equal to 5 sixths
6

cap t times d is a function that relates the number of tickets sold for a movie to the number of days since the movie was released. The average rate of change in cap t times d for the interval d is equal to 4 and d is equal to 10 is 0 Which statement must be true?

A
The same number of tickets was sold on the fourth day and tenth day.
B
More tickets were sold on the fourth day than on the tenth day.
C
No tickets were sold on the fourth day and tenth day.
D
Fewer tickets were sold on the fourth day than on the tenth day.
7

A cashier earns 7 dollars an hour. If x is the number of hours worked, which function represents the cashier’s earnings?

A
y is equal to 7
B
y is equal to 7 x
C
y is equal to 7 over x
D
y is equal to x to the 7th power
10

If y varies directly as x , and y is 18 when x is 5 , which expression can be used to find the value of y when x is 11 ?

A
y is equal to the fraction with numerator 18 times 5 and denominator 11
B
y is equal to the fraction with numerator 11 and denominator 18 times 5
C
y is equal to 18 fifths times 11
D
y is equal to 5 over 18 times 11

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