math

Telephone company A charges \$3.00 for the first minute of any long distance call and \$0.50 for each additional minute. Telephone company B charges \$2.00 for the first minute of any long distance call and \$0.70 for each additional minute. If the cost of a call lasting x minutes, where x is a positive integer, is \$15.00 more with telephone company B than with telephone company A, then what is the value of x?

1. 👍 0
2. 👎 0
3. 👁 133
1. costA= 3.00 + .5(x-1)
costB = 2.00 + .7(x-1)

2 + .7(x-1) - 3 - .5(x-1) = 15
.7x - .5x - .7 + .5 -1 = 15
.2x = 16.2
x = 81

check:
if x = 81
costA = 3+.5(80) = 43
costB = 2 + .7(80) = 58 , which is \$15 more

1. 👍 0
2. 👎 0
posted by Reiny

Similar Questions

1. math

For a​ long-distance person-to-person telephone​ call, a telephone company charges \$ 0.51 for the first​ minute, \$ 0.34 for each additional​ minute, and a \$ 2.06 service charge. If the cost of a call is \$ 6.65 comma how

asked by van on March 12, 2019
2. Math - Word Problem

Word problems confuse me >_> You are choosing between two long-distance telephone companies. Company A charges \$.09 per minute plus \$4 monthly fee. Company B charges \$.11 per minute with no monthly fee. X = number of minutes you

asked by Lynn on October 12, 2011
3. Math

Student budgeted a \$25 a month for phone service. If the telephone company charges \$18 a month for basic service and \$.05 a minute for each long distance call, how many minutes can be spent on long distance calls each month?

asked by Spencer on November 24, 2014
4. math

You need to choose a long distance telephone service for your business. The two options available in your area are Call Me and Trans Talk. Call Me charges a \$5.95 monthly service fee and \$.08 per minute used. Trans Talk charges a

asked by Jesse on May 22, 2010
5. ALGEBRA

A phone company charges \$0.40 per long distance call plus \$0.20 per minute. Find the cost of an 18-minute long distance phone call. Please explain it if you can

asked by Amy on October 18, 2011
6. math

If a phone company charges \$ 0.35 \$0.35 for the first minute and \$ 0.30 \$0.30 for each additional minute for a long-distance call, how long did you talk if the phone call cost \$ 8.75

asked by virginia on January 25, 2017
7. Math

The phone company charges a flat rate of \$2.50 plus and additional \$0.50 each minute for a long-distance phone call. Write an equation to represent the total cost of making a long-distance phone call.

asked by Yasmen on June 18, 2013
8. Algebra 1-Math

There's a table that says Company A charges \$0.36 plus 0.03. And Company B charges \$0.06 per minute. The question Im having problems with are: How long is a call that costs the same amount no matter which company is used? Be sure

asked by Amanda on August 18, 2013
9. Algebra

How do you represent each answer as an algebraic expression using the variable mentioned? The charges for a telephone call are \$0.45 for the first 3 minutes and \$0.09 for each additional minute or part of a minute. Represent the

asked by Austin on September 28, 2009