Question

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

Explanation:

Set up the average rate of change formula

$$ \text{Average Rate of Change} = \frac{B(7) - B(3)}{7 - 3} $$

Substitute the given values and solve for the difference

$$
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$$

Answer:

• 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 \(t = 3\) (Correct answer)
• The temperature was 2 degrees higher when \(t = 7\) than when \(t = 3\)