SOLUTION: The Berrys need to rent a van for their family vacation. They can rent a van from Jason's Auto Rentals for $200 per week with no charge for mileage or from Fred's Fine Autos for $

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Question 103864This question is from textbook A Survey of Mathematics with Applications
: The Berrys need to rent a van for their family vacation. They can rent a van from Jason's Auto Rentals for $200 per week with no charge for mileage or from Fred's Fine Autos for $110 per week plus $0.25 per mile. Determine the distances the Berrys can drive in the van if the cost of renting from Fred's is to be less than the cost of renting from Jason's This question is from textbook A Survey of Mathematics with Applications

Answer by elima(1433) About Me  (Show Source):
You can put this solution on YOUR website!
The Berrys need to rent a van for their family vacation. They can rent a van from Jason's Auto Rentals for $200 per week with no charge for mileage or from Fred's Fine Autos for $110 per week plus $0.25 per mile. Determine the distances the Berrys can drive in the van if the cost of renting from Fred's is to be less than the cost of renting from Jason's
Let x = millage
The equation would be;
110%2B.25x%3C200
Since they do not want to go over 200 it is an inequality;
Now lets solve;
.25x%3C200-110
.25x%3C90
x%3C90%2F.25
x%3C360
So they can not go over 360 miles for the cost to be less.
:)