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?

use the equation: 20+0.03t=5+0.07t
subtract 5 from both sides
then subtract 0.03t from both sides
then divide
you will get 375 for t. And 31.25 for c in both equations

Answer Link

RajarshiG RajarshiG · Answer 2 · 2022-06-16T20:31:09+02:00

A person needs to send 250 texts per month to make the costs from both companies equal.

What is a linear equation?

"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, 'x' is a variable, 'A' is a coefficient and 'B' is constant."

Let, a person needs to send 'x' texts per month to make the costs from both companies equal.

Plan A costs $20 per month plus $0.03 per text.

Now, for the plan A with 'x' texts, the cost is:

$(20 + 0.03 × x)

= $(20 + 0.03x)

Plan B costs $5 per month plus $0.07 per text.

Now, for the plan A with x texts, the cost is:

$(5 + 0.07 × x)

= $(5 + 0.07x)

Therefore, (20 + 0.03x) = (5 + 0.07x)

⇒ 0.07x - 0.03x = 20 - 10

⇒ 0.04x = 10

⇒ x = (10 ÷ 0.04)

⇒ x = 250

Therefore, for 250 texts per month both plans are of same cost.

Learn more about linear equation here:

brainly.com/question/2506989

#SPJ2