Question

for her phone service, donna pays a monthly fee of 16, and she pays an additional $0.05 per minute use. the least she has been charged in a month is $76.45. What are the possible numbers of minutes she has used her phone in a month?

Answer 1

m= 1209 minutes..

Explanation:

Let m represent the number of minutes.

Donna pays a monthly fee of 16, and she pays an additional $0.05 per minute use. the least she has been charged in a month is $76.45

The equation becomes:

16+m*0.05=$76.45

Subtract 16 from both sides:

16-16+m*0.05=$76.45-16

0.05m= $60.45

Divide 0.05 from both sides.

0.05m/0.05= $60.45/0.05

m= 1209 minutes..

Answer 2

Answer: 1209 minutes

Explanation:

To solve this problem we must propose an equation that models the cost of the telephone service based on the number of minutes used x.

If we call C at cost then we know that the cost is composed of a fixed cost of 16 and a cost that varies depending on the number of minutes used (0.05x)

So:

`C = 0.05x +16`

We know that the cost in one month was $ 76.45. Now we substitute this value in the equation and solve for the variable x.

`76.45 = 0.05x + 16\\\\0.05x = 76.45-16\\\\x = (60.45)/(0.05)\\\\x = 1209\ minutes`