Question

Your parking lot charges two dollars per hour for the first four hours then three dollars per hour after that what equation describes the total cost y as a function of the hours X

Answer 1

The equation that describes the total cost y as a function of the number of hours X is y = 2X, for X ≤ 4 and y = 2(4) + 3(X - 4), for X > 4.

Step-by-step explanation:

The equation that describes the total cost y as a function of the number of hours X is:

y = 2X, for X ≤ 4

y = 2(4) + 3(X - 4), for X > 4

Let's break it down:

If the number of hours X is less than or equal to 4, the cost is simply 2X.

For example, if X = 2, then y = 2(2) = 4.

If the number of hours X is greater than 4, the cost is 2(4) + 3(X - 4).

This is because for the first 4 hours, the cost is 2 per hour, and for the remaining hours, the cost is 3 per hour.

For example, if X = 6, then y = 2(4) + 3(6 - 4) = 10.