Question

A family is traveling from their home to avacation resort hotel. The table below showstheir distance from home as a function of time.Time (hrs)0257Distance(mi)0140375480Determine the average rate of change betweenhour 2 and 7, including the units.

Answer 1

Let

x -------> the time in hours

y -------> the distance in miles

we know that

To find the average rate of change, we divide the change in the output (y) value by the change in the input value (x)

so

For x=2 h ------> y=140 mi

For x=7 h ------> y=480 mi

rate of change=(480-140)/(7-2)

rate of change=340/5=68 mi/h

The average rate of change is equal to the speed in this problem