Your cell phone plan costs $
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?
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.