a car enters a turnpike 22 miles north of a town. the car travels north at an average speed of 64 miles per…

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.

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

Explanation:

Step1: Determine the linear - function formula

The general form of a linear function for distance is $d(t)=v t + d_0$, where $v$ is the velocity, $t$ is the time, and $d_0$ is the initial distance. Here, $v = 64$ miles per hour, $d_0=22$ miles, and $t$ is the time in hours. So the linear function is $d(t)=64t + 22$.

Step2: Substitute the time value

We want to find the distance after $t = 4$ hours. Substitute $t = 4$ into the function $d(t)=64t + 22$. $d(4)=64\times4+22$.

Step3: Calculate the result

First, calculate $64\times4 = 256$. Then, $d(4)=256+22$. $d(4)=278$ miles.

Answer:

278 miles