Rate of Change Answers

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What is the average rate of change in f(x) over the interval [4,13]?

Question illustration
A
One-third
Option A
B
Four-thirteenths
Option B
C
Eleven-thirteenths
Option C
D
Eleven-eighths
Option D
3

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.
6

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 = StartFraction 5 Over 18 EndFraction (11)
Option A
B
y = StartFraction 18 Over 5 EndFraction (11)
Option B
C
y = StartFraction (18) (5) Over 11 EndFraction
Option C
D
y = StartFraction 11 Over (18) (5) EndFraction
Option D
8

Which relation is a direct variation that contains the ordered pair (2, 7)?

A
y = 4x – 1
B
y = StartFraction 7 Over x EndFraction
Option B
C
y = two-sevenths x
Option C
D
y = seven-halves x
Option D

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Rate of Change Answers — INMT3 Integrated Math 3…