Question

A cell phone company charges $45 a month for phone service and $0.25 for each text message. Which equation can be used to find the total number of text messages sent in a month? How many text messages were sent if the monthly bill was $75?

Answer 1

We are given

A cell phone company charges $45 a month for phone service and

$0.25 for each text message

(a)

Let's assume

total number of messages sent on each month is x

total monthly bill is $ y

so, we can set up equation

`y=45+0.25x`

now, we can solve for x

Subtract both sides by 45

`y-45=45+0.25x-45`

`y-45=0.25x`

`x=(y-45)/(0.25)`

`x=4y-180`...........Answer

(b)

we can plug y=75

and then we can solve for x

`x=4*75-180`

`x=300-180`

`x=120`

so, total number messages sent were 120...........Answer