Question

Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $29 monthly fee and charges an additional $0.13 for each minute of calls. The second plan has a $24 monthly fee and charges an additional $0.18 for each minute of calls. For how many minutes of calls will the costs of the two plans be equal?

Answer 1

Number of minutes of calls of the 2 plans = x

1st plan- monthly fee- $29 + $0.13x
2nd plan-monthly fee-$24+$0.18x

29+0.13x = 24+0.18x

Answer 2

My work so far^^

Answer 3

First plan: 29 + .13x (x equals minutes of calls)
Second plan: 24 + .18x

Answer 4

Need help solving for x

Answer 5

If you have a calculator, then you plug those two equations into your graphing calculator, and see where they intersect.

Answer 6

I don't have a graphing calculator...

Answer 7

If not, then set them to each other. So 29+.13x= 24+.18x

Answer 8

And then solve for x. Could you do that, or do you want to see the work?

Answer 9

uh huh yea I got that far

Answer 10

I need help with solving for x

Answer 11

Okay, give me a minute to draw it

Answer 12

ok np

Answer 13

Actually, i'll explain it, drawing is tedious

Answer 14

First, subtract 24 from both sides. Now you have 5 +.13x= .18x

Answer 15

Now, subtract .13x from both sides. So now you have 5= .5x

Answer 16

Aha! that was my first mistake

Answer 17

I subtracted 29

Answer 18

Do you think you can solve it from there?

Answer 19

Wait, let me check my work.

Answer 20

Because my answer isn't working...

Answer 21

hold on ok so right now we have