One phone company charges a flat fee of $35, plus $0.15 for each minute. The other phone company charges a flat fee of $20, plus $0.25 for each minute. For how many minutes, m, do the companies charge the same amount?

Respuesta :

Answer:

0.15m+35=0.25m+20

Step-by-step explanation:

Ver imagen NOTAdrian

The companies charge the same amount at 150 minutes

A linear equation is represented as:

[tex]y = mx + c[/tex]

Where:

m represents the rate

c represents the flat fee

So, the linear equations of both companies is:

[tex]y =35 + 0.15m[/tex]

[tex]y =20 + 0.25m[/tex]

Where m represents the number of minutes

Equate both functions

[tex]20 + 0.25m = 35 + 0.15m[/tex]

Collect like terms

[tex]0.25m - 0.15m =35 -20[/tex]

[tex]0.1m =15[/tex]

Solve for m

[tex]m =150[/tex]

Hence, the companies charge the same amount at 150 minutes

Read more about linear functions at:

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