SOLUTION: (Book asks first to setup an inequality that can be used to solve the problem, then solve it to find the desired value) Long Distance: The telephone long-distance carrier Teleco

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Question 158236This question is from textbook Intermediate Algebra for College Students
: (Book asks first to setup an inequality that can be used to solve the problem, then solve it to find the desired value)
Long Distance: The telephone long-distance carrier Telecom-USA, which markets itself as 10-10-220, charges customers $0.99 for the first 20 minutes and then $0.07 for each minute (or any part thereof) beyond 20 minutes. If Patricia Lanz uses this carrier, how long can she talk for $5.00?
This question is from textbook Intermediate Algebra for College Students

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
.99+X*.07=5
.99+.07X=5
.07X=5-.99
.07X=4.01
X=4.01/.07
X=57.3
57+20= 77 MINUTES IS THE MAXIMUM MINUTES SHE CAN USE FOR $5.00.
PROOF
.99+.07*57<5
.99+3.99<5
4.98<5