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Part 1
Your cell phone plan costs ​$29.99 per month plus ​$0.17 for each text message you send or receive. You have at most ​$36 to spend on your cell phone bill. What is the maximum number of text messages that you can send or receive next​ month?

1 answer

To find the maximum number of text messages you can send or receive next month, we can use the equation:

Cost of cell phone plan + (Cost per text message x Number of text messages) ≤ Maximum spending limit

Plugging in the values:

$29.99 + ($0.17 x Number of text messages) ≤ $36

We can subtract $29.99 from both sides of the equation:

$0.17 x Number of text messages ≤ $36 - $29.99

Simplifying:

$0.17 x Number of text messages ≤ $6.01

Now, to solve for the maximum number of text messages, we divide both sides of the equation by $0.17:

Number of text messages ≤ $6.01 / $0.17

Number of text messages ≤ 35.35

Therefore, the maximum number of text messages you can send or receive next month is 35.