maria created a graph of b(t), the temperature over time. for the interval between t = 3 and t = 7, the…

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? the temperature was 8 degrees higher when t = 7 than when t = 3. the temperature was 8 times higher when t = 7 than when t = 3. the temperature was 32 degrees higher when t = 7 than when t = 3. the temperature was 2 degrees higher when t = 7 than when t = 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? the temperature was 8 degrees higher when t = 7 than when t = 3. the temperature was 8 times higher when t = 7 than when t = 3. the temperature was 32 degrees higher when t = 7 than when t = 3. the temperature was 2 degrees higher when t = 7 than when t = 3.

Answer

Answer:

The temperature was 32 degrees higher when (t = 7) than when (t = 3).

Explanation:

Step1: Recall average - rate - of - change formula

The average rate of change of a function (y = B(t)) over the interval ([a,b]) is given by (\frac{B(b)-B(a)}{b - a}). Here, (a = 3), (b = 7), and the average rate of change (\frac{B(7)-B(3)}{7 - 3}=8).

Step2: Solve for (B(7)-B(3))

Since (\frac{B(7)-B(3)}{7 - 3}=8) and (7-3 = 4), then (B(7)-B(3)=8\times(7 - 3)).

Step3: Calculate the value

(B(7)-B(3)=8\times4=32). This means the temperature at (t = 7) is 32 degrees higher than the temperature at (t = 3).