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Cell Phone Company A charges $20 each month plus $0.03 per text. Cell Phone Company B charges $5 each month plus $0.07 per text.

Write a system of equations to model the situation using c for cost and t for number of texts.
How many texts does a person need to send in a month to make the costs from both companies equal?

Respuesta :

jbednarik1
Cell Phone Company A: c=0.03t+20
Cell Phone Company B: c=0.07t+5

Or: 0.03t+20=0.07t+5

An equation is formed of two equal expressions. The number of texts for which the costs from both companies are equal is 375.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

1.)

The cost of company A, when A charges $20 each month plus $0.03 per text.

c = 20 + 0.03t

The cost of company B, when B charges $5 each month plus $0.07 per text.

c = 5 + 0.07t

The system of equations to model the situation using c for cost and t for the number of texts.

c = 20 + 0.03t

c = 5 + 0.07t

2.)

The number of texts for which the costs from both companies equal,

20 + 0.03t = 5 + 0.07t

15 = 0.04t

t = 375

Hence, The number of texts for which the costs from both companies are equal is 375.

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