Question

At the beginning of a trip, the odometer on a car reads 30,680 and the car has a full tank of gas. At the end of the trip, the odometer reads 30,970. It takes 20 gallons of gas to refill the tank. a. What is the average rate of change of the number of miles with respect to the number of gallons?

Answer 1

Answer:14.5 miles per gallon.

Explanation:

To find the average rate of change of the number of miles with respect to the number of gallons, we need to calculate the total number of miles traveled and the total number of gallons used.

The number of miles traveled can be found by subtracting the initial odometer reading from the final odometer reading:

Number of miles traveled = Final odometer reading - Initial odometer reading

= 30,970 - 30,680

= 290 miles

The total number of gallons used is given as 20 gallons.

To find the average rate of change, we divide the number of miles traveled by the number of gallons used:

Average rate of change = Number of miles traveled / Number of gallons used

= 290 miles / 20 gallons

= 14.5 miles/gallon

Therefore, the average rate of change of the number of miles with respect to the number of gallons is 14.5 miles per gallon.

Answer 2

14.5 miles per gallon

Explanation:

The average rate of change of the number of miles with respect to the number of gallons is the change in the number of miles divided by the change in the number of gallons.

The change in the number of miles is:

30,970 - 30,680

= 290 miles.

The change in the number of gallons is 20 gallons.

Therefore, the average rate of change of the number of miles with respect to the number of gallons is:

`\sf \frac{ 290 \textsf{ miles }}{20 \textsf{gallons}} = 14.5 \textsf{ miles per gallon}`

So, the answer is 14.5 miles per gallon.