Question

A car enter a turnpike 22 mile north of a town. The car travel north at an average peed of 64 mile per hour. How far i the car from the town after 4 hour?

Explain how you can ue a linear function to olve thi problem. Then, olve the problem

Answer 1

We can use a linear function to solve this problem by representing the position of the car as a function of time. Let's call the position of the car at time t as f(t) (in miles). The car is 22 miles north of the town when t = 0, so we have:

f(0) = 22

Since the car is traveling north at an average speed of 64 miles per hour, we can write:

f(t) = f(0) + v * t

where v is the average velocity (64 miles per hour). We need to convert the velocity to miles per hour to make sure the units match:

v = 64 miles/hour

t = 4 hours

Substituting these values into the equation:

f(t) = f(0) + v * t

f(4) = 22 + 64 * 4

f(4) = 22 + 256

f(4) = 278

So, after 4 hours, the car is 278 miles north of the town.

Explanation: