emhart2012 2 years ago A telephone company charges customers a certain amount for the first minute of a long distance call and another amount for each additional minute. A customer makes two calls to the same city—a 31-minute call for \$1.94 and a 13-minute call for \$0.86. If there is a federal tax rate of 3.7% and a state tax rate of 7.4% on all long distance calls, find, to the nearest minute, the longest call to the same city whose cost will not exceed \$9.00.

1. emhart2012

for the first half of the problem i got .14 for the cost of the first minute and then .06 for the additional minutes.. i need help solving the last question about the federal tax

2. xon1300

I'd say add the taxes together 3.7+7.4 = 11.1% then the equation becomes y = (11.1/100)*( 0.14 + 0.6(m-1) ) does that work?

3. emhart2012

am i soppose to solve for m? or y?

4. emhart2012

im confused and its .06

5. xon1300

you solve for m (mintute) given that y (money) equals \$9

6. geoffb

@xon1300 In your formula, \(y\) would only be the tax. It wouldn't include the cost of the call.

7. xon1300

so \[y = (111.1/100)*( 0.14 + 0.06(m-1) )\] when y=9 m= what?

8. geoffb

There, that one's better. :)

9. xon1300

hard to count ones, they marge together, lol

10. geoffb

Haha yeah!

11. emhart2012

Thank you so much!! thats the same thing i did and thats why i couldn't figure it out i hade 11.1