You can work a total of no more than 10 hours each week at your two jobs. Checking of test papers pays Php 5per hour and your sales job pays Php 8 per hour. You need to earn at least Php 56 each week to pay your internet load for online classes.
Write a system of inequalities that shows the various numbers of hours you can work at each job.
Which of the following is the least possible number of hours for checking test papers?
Which of the following is the least possible number of hours for your sales job?
Answers
Given : You can work a total of no more than 10 hours each week at your two jobs. Checking of test papers pays Php 5per hour and your sales job pays Php 8 per hour. You need to earn at least Php 56 each week
To Find : a system of inequalities that shows the various numbers of hours you can work at each job.
Solution:
number of hours for checking test papers = x
number of hours for sales job = y
x + y ≤ 10
5x + 8y ≥ 56
boundary points :
x = 8 , y = 2
x = 0 , y = 10
x= 0 , y = 7
least possible number of hours for checking test papers = 0
least possible number of hours for your sales job = 2
Optimized result
5x + 8y is when x = 0 and y = 10
Hence 80 phP
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