Question

A technical-support company charges $10 per month plus $35 per hour of phone support. If you need to spend less than $100 per month on support, how many hours can you get? Write and solve an inequality.​

Answer 1

To solve the inequality based on a budget of less than $100 per month for phone support with a rate of $35 per hour plus a $10 fixed fee, the maximum hours of support you can get is 2 hours.

Step-by-step explanation:

The question involves creating and solving an inequality to determine the number of hours of phone support that can be obtained from a technical-support company within a certain budget. The company charges a fixed monthly fee and a variable hourly rate for phone support. The fixed fee is $10 per month, and the variable fee is $35 per hour of support. We are given a budget constraint of less than $100 per month.

To solve this, let's denote the number of hours of phone support as x. We can write the inequality as:

10 + 35x < 100

Now, we solve for x:

35x < 90
x < 90 / 35
x < 2.57

So, you can get less than 2.57 hours of phone support to stay within a budget of $100 per month. Since we can't have a fraction of an hour of phone support, the maximum whole number of hours you can get is 2 hours.