The cost of a car rental is $42 per day plus 20 cents per mile. you are on a daily budget of $98. write and solve an inequality to find the greatest distance you can drive each day while staying within your budget. use pencil and paper. find 2 other two-step inequalities with the same solutions.
Accepted Solution
A:
R= $42 rental cost per day Mileage= $0.20 per mile m= number of miles driven Budget= $98 per day
EQUATION $98> $0.20m + $42
SOLUTION $98> $0.20m + $42 subtract 42 from both sides $56> $0.20m divide both sides by $0.20 280> m
They have to drive less than 280 miles per day to stay within their $98 budget.
SAME SOLUTION INEQUALITIES Set up the equations with new numbers, substitute 280 for m and pick another variable to solve for. I chose to solve for total rental cost.
m= 280 miles per day R= Rental cost per day
R> $0.10(280) + $50 R> $28 + $50 R> $78
Equation #1 $78> $0.10m + $50
---------- m= 280 miles per day R= Rental cost per day
R> $0.18(280) + $44 R> $50.40 + $44 R> $94.40
Equation #2 $94.40> $0.18m + $44
ANSWER: 280> m; They have to drive less than 280 miles per day to stay within their $98 budget.