Question

the table shows the distance a runner has traveled y, in miles, x minutes after the start of a race. what is the runners average rate of change, in miles per minute, from 60 to 120 minutes?
time (min)
0
30
60
90
120
distance (miles)
0
3.48
6.42
9.18
12.0

Explanation:

Step1: 确定时间和距离的变化量

时间从60分钟到120分钟，变化量\(\Delta x = 120 - 60 = 60\)分钟。
距离从6.42英里到12.0英里，变化量\(\Delta y = 12.0 - 6.42 = 5.58\)英里。

Step2: 计算平均变化率

平均变化率公式为\(\frac{\Delta y}{\Delta x}\)，代入数值可得\(\frac{5.58}{60} = 0.093\)英里/分钟。

Answer:

0.093英里/分钟