SOLUTION: I work at most 25 hours per week and earn at least $150 per week. I have two jobs, one pays $10 per hour and the other $5 per hour. Let x be the no. of hours for job 1, and y be

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: I work at most 25 hours per week and earn at least $150 per week. I have two jobs, one pays $10 per hour and the other $5 per hour. Let x be the no. of hours for job 1, and y be       Log On


   

Question 942226: I work at most 25 hours per week and earn at least $150 per week. I have two jobs, one pays $10 per hour and the other $5 per hour. Let x be the no. of hours for job 1, and y be the no. of hours for job 2. Write and solve a system of Linear Inequalities that models the solution.
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Description uses time, money, and two pay rates. List what you have as much in symbols as possible.

You already assigned:
x, time for job 1.
y, time for job 2.

ACCOUNT FOR TIME
x%2By%3C=25

ACCOUNT FOR WAGES
10x%2B5y%3E=150
simplifiable to 2x%2By%3E=30

Finding solutions might be more comfortable done on a graph. You should be aware of some practical restrictions. 25%3E=x%3E=0 and 25%3E=y%3E=0.
The system has infinite solutions, or if whole numbers only, a few solutions. Make a graph for ease.