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Marianna [84]
3 years ago
8

2 Mini Lesson: A wireless phone plan costs Eric $35 for a month of service during which he sent 450 text messages. If he was cha

rged a fixed fee of $12.50, how much did he pay per text? Equation: 12.50 + 450t = 35 Explain how each term was determined from the word problem. ​
Mathematics
1 answer:
mafiozo [28]3 years ago
4 0

9514 1404 393

Explanation:

From your knowledge of the world, you know that ...

  • the cost of multiple items is the sum of their individual costs
  • multiplication can be used for repeated addition
  • utility fees are the sum of fixed fees and usage-related fees
  • for a phone plan, text message costs are a usage-related fee

The problem statement asks for the cost of a single text message. For the purpose of finding that value, it is convenient to represent it using the variable <em>t</em>. The problem statement says Eric was billed for 450 text messages, so we expect his usage-related fee to be 450t, the sum of the costs of 450 messages--using multiplication for the repeated sum.

The problem statement says Eric was billed 12.50 for fixed fees. So, we expect Eric's total bill to be ...

  fixed fees + usage-related fees = 12.50 + 450t

The problem statement says Eric's total bill was 35.00, so we assume that is the sum of the above-listed fees. That is, the two ways to express Eric's total bill are equal.

  12.50 +450t = 35.00

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