Systems of Linear Equations

Real World Systems and Solutions

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Problem 1

At how many minutes do both companies charge the same amount?

20 Minutes

Problem 2

At how many minutes do both companies charge the same amount?

10 Minutes

Problem 3

At how many minutes do both companies charge the same amount?

Never, the slope of the graphs of their rates is the same. Parallel lines never intersect.

A Real World Dilemma!

A Real World Dilemma!

Use your knowledge of solutions of systems of linear equations to solve a real world problem you might have already been faced with: Choosing the best cell phone plan


Step 1

At how many minutes do both companies charge the same amount?

20 minutes

Step 2

When is Company T a better Value?

T is a better value from 0 to 20 minutes.

Step 3

When is Company S a better Value?

S is a better value if you talk more than 20 minutes

Step 4

The pink region represents the cheaper segment of the chart.