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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?
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.
To solve this problem, we need to determine the maximum number of text messages that can be sent or received given the monthly cost and the budget constraint.
Let's break down the monthly cost equation:
- The fixed monthly cost is $29.99.
- The cost per text message is $0.17.
Now, let's set up the equation based on the budget constraint:
Total Cost <= Budget
$29.99 + ($0.17 * number of text messages) <= $36
To find the maximum number of text messages, we need to rearrange the equation to isolate the number of text messages:
$0.17 * number of text messages <= $36 - $29.99
$0.17 * number of text messages <= $6.01
Now, divide both sides of the equation by $0.17:
number of text messages <= $6.01 / $0.17
Calculating the value on the right side:
number of text messages <= 35.35
Since you can't have a fraction of a text message, the maximum number of text messages you can send or receive next month is 35.
Therefore, the maximum number of text messages you can send or receive next month is 35.
To find the maximum number of text messages you can send or receive next month, we will use the given information:
- The monthly cost of your cell phone plan is $29.99.
- For each text message you send or receive, it costs $0.17.
- You have at most $36 to spend on your cell phone bill.
To determine the maximum number of text messages, we need to find out how much money we have available to spend on text messages after paying the monthly plan cost.
Step 1: Calculate the available budget for text messages:
Available Budget = Total Budget - Monthly Plan Cost
= $36 - $29.99
= $6.01
Step 2: Determine the maximum number of text messages:
Maximum Number of Text Messages = Available Budget / Cost per Text Message
= $6.01 / $0.17
Performing the calculation:
Maximum Number of Text Messages ≈ 35.35
Therefore, the maximum number of text messages you can send or receive next month is approximately 35.