Question

A parking lot charges $2 per hour for the first 4 hours, then $3 per hour after that. Which equation(s) describes the total cost y as a function of the hours x?

Answer 1

there are no options but i would say it’s probably close to y= 8 + 3x

Answer 2

The equation that describes the total cost y as a function of the hours x for the given parking lot is
y = 2x if x ≤ 4, and y = 3x - 4 if x > 4.

Step-by-step explanation:

To determine the equation that describes the total cost y as a function of the hours x in this parking lot scenario, we need to consider two different cases: when the parking time is 4 hours or less, and when it is more than 4 hours.

The equation that describes the total cost y as a function of the hours x for the given parking lot is:

y = 2x if x ≤ 4 (for the first 4 hours)

y = 2(4) + 3(x-4) = 8 + 3x - 12 if x > 4 (after the first 4 hours)

So, we have two equations for different conditions of x

y = 2x if x ≤ 4
y = 3x - 4 if x > 4