A car enters a turnpike 22 miles north of a town. The car travels north at an average speed of 64 miles per hour. How far is the car from the town after 4 hours on the turnpike? Explain how you can use a linear function to solve this problem. Then, solve the problem.

Answer:

A linear function can be used because the car travels at a constant speed, meaning the distance from the town changes at a constant rate. Let 𝑡 t represent the number of hours on the turnpike. Since the car starts 22 miles north of the town and travels 64 miles per hour north, the distance from the town can be modeled by the linear function 𝑑 ( 𝑡 ) = 22 + 64 𝑡 .After 4 hours, the car is 278 miles north of the town.