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?
Answer
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 .
Explanation
Average rate of change is the change in temperature divided by the change in time: (b(7) − b(3)) ÷ (7 − 3) = 8. Since the time interval is 4, the temperature change is 8 × 4 = 32 degrees. So the temperature was 32 degrees higher at t = 7 than at t = 3, which is choice D.
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