1. Solving a Word Problem
By: Jordan Williams

2. Word Problem
A car rental company charges $24.95 per day plus $.10 per mile. A business traveler is allotted $50.00 each day for travel expenses. What is the greatest number of miles the business person can travel without going over the allotted $50.00?

3. Key Words
greatest number of miles
$.10 per mile
$24.95 per day
plus

4. Variable Chosen
The variable I chose is m for miles

5. Inequality Symbol
less than or equal because the traveler cannot go over his $50 but can spend $50 exactly

6. Set-Up The set-up to this equation is 24.95 + .1m ≤ 50
In one day the traveler has $50 to spend which he cannot exceed but the car cost $24.95 per day and $.10 per mile so plus .1m needs to be under the amount of money the traveler is allowed for that day of travel.

7. Step 1 Subtract 24.95 from both sides 24.95 + .1m - 24.95 ≤ 50 - 24.95
Because of the subtraction property of inequality
Results in .1m ≤ 25.05

8. Step 2 Divide both sides by .1 .1m/.1 ≤ 25.05/.1
Because of the division property of inequality
Results in m ≤ 250.5

9. Solution
m ≤ 250.5

10. Check
m = 200, (200) = = which is less than 50
m = 225, (225) = = which is less than 50
m = 250.5, (250.5) = = 50 which is equal to 50 but is still a solution

11. Answer
The traveler can travel miles without going over the allotted $50

12. How to Graph the Solution
Closed dot at because there is a less than or equal sign
Arrow pointing left because values need to be less than or the traveler will exceed his allotted money for the day