Modeling with Equations Math Example 1

Follow the full solution, then compare it with the other examples linked below.

Example 1

easy
A phone plan costs \15 per month plus \0.10 per text. Write an equation for the monthly cost CC if you send tt texts.

Solution

  1. 1
    Fixed cost: \$15 per month.
  2. 2
    Variable cost: \0.10pertext,so0.10 per text, so 0.10tfor for t$ texts.
  3. 3
    Total: C=15+0.10tC = 15 + 0.10t.

Answer

C=15+0.10tC = 15 + 0.10t
Modeling translates a real situation into an equation. Identify the fixed part (constant) and the changing part (variable term) to build the equation.

About Modeling with Equations

Translating a real-world situation into one or more equations that capture its mathematical relationships and constraints.

Learn more about Modeling with Equations β†’

More Modeling with Equations Examples

Example 2 medium

Two trains leave the same station traveling in opposite directions at 50 mph and 70 mph. After how m

Example 3 easy

Write an equation: 'A number doubled and increased by 7 equals 25.'

Example 4 hard

The sum of three consecutive integers is 72. Find them.

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