Question

Determine la tasa de cambio entre la hora 2 y la hora 7, incluyendo unidades.

A family is traveling from their home to a vacation resort hotel. The table below shows their distance from home as a function of time.

Time (hrs) Distance (mi)
0 140
2 375
7 480

Option 1: 60 miles per hour
Option 2: 65 miles per hour
Option 3: 70 miles per hour
Option 4: 75 miles per hour

Answer 1

The rate of change between hour 2 and hour 7 is 21 miles per hour.

Step-by-step explanation:

To determine the rate of change between hour 2 and hour 7, we need to calculate the average speed of the family's travel.

First, we calculate the distance traveled during this time period by subtracting the distance at 2 hours (375 mi) from the distance at 7 hours (480 mi), which gives us 105 mi.

Next, we calculate the time elapsed by subtracting 2 hours from 7 hours, which gives us 5 hours.

Finally, we divide the distance traveled by the time elapsed to find the average speed, which is 105 mi / 5 hr = 21 miles per hour.