Rate of Change Answers

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1
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Calculate the average rate of change of a function over a specified interval. Which expression can be used to determine the average rate of change in f(x) over the interval ?

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A
f(9 – 2)
B
f(9) – f(2)
C
StartFraction f (9 minus 2) Over 9 minus 2 EndFraction
Option C
D
StartFraction f (9) minus f (2) Over 9 minus 2 EndFraction
Option D
2
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The average rate of change of g(x) between x = 4 and x = 7 is . Which statement must be true?

Question illustration
A
g (7) minus g (4) = five-sixths
Option A
B
StartFraction g (7 minus 4) Over 7 minus 4 EndFraction = five-sixths
Option B
C
StartFraction g (7) minus g (4) Over 7 minus 4 EndFraction = five-sixths
Option C
D
StartFraction g (7) Over g (4) EndFraction = five-sixths
Option D
3

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 = StartFraction 48 Over 6 EndFraction (2)
Option A
B
y = StartFraction 6 Over 48 EndFraction (2)
Option B
C
y = StartFraction (48) (6) Over 2 EndFraction
Option C
D
y = StartFraction 2 Over (48) (6) EndFraction
Option D
5

Maria created a graph of B(t), the temperature over time. For the interval between t = 3 and t = 7, the average rate of change in her graph of B(t) is 8. Which statement must be true?

A
The temperature was 8 degrees higher when t = 7 than when t = 3.
B
The temperature was 8 times higher when t = 7 than when t = 3.
C
The temperature was 32 degrees higher when t = 7 than when t = 3.
D
The temperature was 2 degrees higher when t = 7 than when t = 3.

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Rate of Change Answers — INMT3 Integrated Math 3…