Your cell phone plan costs $34.99 per month plus $0.17 for each text message you send or receive. You have at most $41 to spend on your cell phone bill. What is the maximum number of text messages that you can send or receive next month?

Question

Your cell phone plan costs ​$34.99 per month plus ​$0.17 for each text message you send or receive. You have at most ​$41 to spend on your cell phone bill. What is the maximum number of text messages that you can send or receive next​ month?

GPT 3.5 · Answer

Let's call the number of text messages you can send or receive x.
The cost of your cell phone plan is $34.99.
The cost of sending or receiving x text messages is 0.17x.
So, the total cost of sending or receiving x text messages is $34.99 + 0.17x.
Since you have at most $41 to spend, we can set up the inequality:
$34.99 + 0.17x ≤ $41
Subtracting $34.99 from both sides of the inequality, we get:
0.17x ≤ $6.01
Dividing both sides of the inequality by 0.17, we get:
x ≤ 35.35
Therefore, the maximum number of text messages you can send or receive next month is 35. Answer: \boxed{35}.

Your cell phone plan costs ​$34.99 per month plus ​$0.17 for each text message you send or receive. You have at most ​$41 to spend on your cell phone bill. What is the maximum number of text messages that you can send or receive next​ month?

Your cell phone plan costs $34.99 per month plus $0.17 for each text message you send or receive. You have at most $41 to spend on your cell phone bill. What is the maximum number of text messages that you can send or receive next month?