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

Answer

Explanation:

Step1: 平均変化率の公式を思い出す

平均変化率の公式は $\frac{B(7)-B(3)}{7 - 3}$ です。

Step2: 与えられた平均変化率を代入する

与えられた平均変化率は8で、$7-3 = 4$ です。なので $8=\frac{B(7)-B(3)}{4}$。

Step3: 式を解く

両辺に4を掛けると、$B(7)-B(3)=8\times4 = 32$ となります。これは $t = 7$ のときの温度が $t = 3$ のときの温度より32度高いことを意味します。

Answer:

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