Question

A carpet cleaner company charges a base fee of $25 per day along with an additional $15 per hour. If Magda wants to spend less than $100, write an inequality to represent the number of hours (x) that Magda can pay.

Answer 1

The inequality representing the number of hours Magda can pay for the carpet cleaner company to spend less than $100 is 25 + 15x < 100. Magda can pay for a maximum of 4 hours of carpet cleaning.

Step-by-step explanation:

To represent the number of hours (x) that Magda can pay and spend less than $100, we can use an inequality.

The base fee for the carpet cleaner company is $25 per day.

The additional fee per hour is $15.

Let's assume Magda can pay for x hours.

So the inequality would be:

25 + 15x < 100

To find the maximum number of hours Magda can pay, we can solve this inequality:

15x < 75

x < 5

Therefore, Magda can pay for a maximum of 4 hours of carpet cleaning to spend less than $100.