Question

A downtown parking lot charges $5 per hour for the first 2 hours, then $2.50 per hour after that. which equation(s) describes the total cost y as a function of the hours x?

Answer 1

The required function is $y=\ 5 \times 2 \ for \ x\leq 2\\y=\ 10+\ 2.50 \times (x-2) \ for \ x > 2$ .

What is piece wise function used for?

We use piece wise functions to describe situations in which a rule or relationship changes as the input value crosses certain “boundaries.” For example, we often encounter situations in business for which the cost per piece of a certain item is discounted once the number ordered exceeds a certain value.

We know that, the parking lot charges $5 per hour for the first two hours, and then $2.50 per hour after that.

So the function behaves differently in different intervals of its domain, this will be a piece wise function. To write it, we just need to clarify how the function behaves in each part of the domain.

So the function is

$y=\ 5 \times 2 \ for \ x\leq 2\\y=\ 10+\ 2.50 \times (x-2) \ for \ x > 2$

So for the first two hours (x is the number of hours), the cost is $5, then for any hour after that, the cost will be the $10 for the first two hours plus $2.50 for each hour after that.

To learn more about piece wise function from the given link:

brainly.com/question/26681300

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