Answered

Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $ 16 monthly fee and charges an additional $0.15 for each minute of calls. The second plan has a $21 monthly fee and charges an additional $0.11 for each minute of calls. For how many minutes of calls will the costs of the two plans be equal?

Answer :

MRROYALGO

The service plans are illustrations of linear equations

It will take 125 minutes for the plans to have the same cost

How to determine the number of minutes

From the question, we have the following parameters

Service plan 1

  • Monthly fee = $16
  • Charges = $0.15 per minute

Service plan 2

  • Monthly fee = $21
  • Charges = $0.11 per minute

So, the linear equations for both plans are:

[tex]y = 16 + 0.15x[/tex]

[tex]y = 21 + 0.11x[/tex]

When the plans cost the same, we have:

[tex]16 + 0.15x = 21 + 0.11x[/tex]

Collect like terms

[tex]0.15x - 0.11x = 21 - 16[/tex]

This gives

[tex]0.04x = 5[/tex]

Solve for x

[tex]x = 125[/tex]

Hence, it will take 125 minutes for the plans to have the same cost

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