Your cell phone plan costs ​$

Question

24.99 per month plus ​$
0.13 for each text message you send or receive. You have at most ​$
31 to spend on your cell phone bill. What is the maximum number of text messages that you can send or receive next​ month?

Answer 1

Let's assume that you will send or receive x text messages next month.

The cost of the cell phone plan is $24.99 per month, and the cost per text message is $0.13. So, the total cost of the cell phone bill can be expressed as:

$24.99 + $0.13x

Since you have at most $31 to spend on your cell phone bill, we can set up the following inequality:

$24.99 + $0.13x ≤ $31

To solve for x, we can subtract $24.99 from both sides:

$0.13x ≤ $6.01

Now, divide both sides by $0.13 to isolate x:

x ≤ $6.01 / $0.13

x ≤ 46.23

Since you can only send or receive whole numbers of text messages, the maximum number of text messages you can send or receive next month is 46.