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? . Explain how you can use a linear function to solve this problem. Then, solve the problem.

Respuesta :

We are given with the data that a car is already 22 miles north of a town. The average speed is 64 miler per hour. The linear function of the distance  of the car in terms of time is d = 22 + 64t. When time, t is equal to 4, the distance is equal to 22 + 64 * 4. Total distance is equal to 278 miles. 

The equation of the linear function is: d = 64t + 22

The car from the town after 4 hours would be: 278 miles.

What is a Linear Function?

The equation, y = mx + b, represents a linear function, where m is the unit rate, and b is the initial value.

Using a linear function, we would represent the given problem as shown below:

  • d (y) = distance
  • t (x) = time
  • m = 64
  • b = 22 miles

The equation that represents the linear function for this problem would be:

d = 64t + 22

Substitute t = 4 into d = 64t + 22

d = 64(4) + 22

d = 278 miles

The car from the town after 4 hours would be: 278 miles.

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