Question

After driving for 2 hours, Juan is 110 miles from his home. After driving 5 hours, he is 275 miles from his home. What is his average rate of change? (Do not include units in your answer. For example, if your answer is 100 miles per hour, only write 100.)

Answer 1

55

Explanation:

Step 1: Divide each mile he drove by the hours:

110 ÷ 2

`(110)/(2)`

= 55

275 ÷ 5

`(275)/(5)`

= 55

Note - the next step is not necessary in this case even though it asked for the average because if both results are the same, then that is the answer.

Step 2: Find the average of the two results:

`(55+55)/(2)`

`(110)/(2)`

= 55

Therefore, the average rate of change is 55 miles per hour.