Math Algebra 1

Question

Your cell phone plan costs

​$24.99

per month plus

​$0.18

for each text message you send or receive. You have at most

​$33

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

Paul gave a great, succinct answer to this question. Let's flesh it out a little.

So, you have a total of $33, and you know that you have to spend $24.99 for the basic service. How much does that leave?

$33 - $24.99 = $8.01

This tells us that we can spend, at most, $8.01 on text messages, or we'll go over our budget. How many texts is that?

$8.01 / $0.18 per message = 44.5 messages

We don't have any way of sending half of a message, so that means our limit is going to be 44 messages, as going to 45 message would put us over budget.

Does that make sense?

Answer 2

24.99 + 0.18m ≤ 33

.18m ≤ 8.01

m ≤ 44.5