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.

Question

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.

anonymous · Answer

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

anonymous · Answer

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?

anonymous · Answer

am i soppose to solve for m? or y?

anonymous · Answer

im confused and its .06

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

There, that one's better. :)

anonymous · Answer

hard to count ones, they marge together, lol

anonymous · Answer

Haha yeah!

anonymous · Answer

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