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One telephone company charges $16.95 per month and .50 per minute for local calls . Another company charges 22.95$ per month and .02 per minute for local calls . For what number of minutes of local calls per month is the cost of plans the same ?

Respuesta :

For 20 minutes of local calls per month, the cost of plan will be same.

Step-by-step explanation:

Per month charges of one company = $16.95

Per minute charges = $0.50

Let,

x represent the minutes.

T(x) = 0.50x+16.95

Per month charges of another company = $22.95

Per minute charges = $0.20

C(x) = 0.20x+22.95

When the cost will be same, the functions will be equal.

T(x) = C(x)

[tex]0.50x+16.95 = 0.20x+22.95\\0.50x-0.20x=22.95-16.95\\0.30x=6\\[/tex]

Dividing both sides by 0.30

[tex]\frac{0.30x}{0.30}=\frac{6}{0.30}\\x=20[/tex]

For 20 minutes of local calls per month, the cost of plan will be same.

Keywords: function, division

Learn more about functions at:

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