A car is 500 miles from its destination after 2 hours and 410 miles from its destination after 3.5 hours. What is the rate of change?
(1 point)
Responses
1.5 miles per hour
1.5 miles per hour
60 miles per hour
60 miles per hour
90 miles per hour
90 miles per hour
135 miles per hour
To find the rate of change, we need to calculate the difference in distance divided by the difference in time:
Rate of change = (Change in distance) / (Change in time)
In this case, the change in distance is 410 miles - 500 miles = -90 miles (negative because the distance is decreasing).
The change in time is 3.5 hours - 2 hours = 1.5 hours.
Rate of change = (-90 miles) / (1.5 hours) = -60 miles per hour.
Therefore, the rate of change is -60 miles per hour.