Question

Julian is working two summer jobs, making $8 per hour washing cars and making

$13 per hour tutoring. In a given week, he can work a maximum of 13 total hours and
must earn no less than $130. If a represents the number of hours washing cars and y
represents the number of hours tutoring, write and solve a system of inequalities
graphically and determine one possible solution.

Answer 1

Jacob should work minimum of 14 hours washings cars to meet his requirement.

Explanation:

Let the number of hours of washing cars be 'x'.

Let the number of hours of landscaping be 'y'.

Given:

Cost for Per hour for washing cars = $10

Cost for per hour Landscaping = $8

Total number of hours of working

Amount to be earned this weekend

So we can say that;

Also,

Amount to be earned this weekend should be greater than or equal to sum of Cost for Per hour for washing cars multiplied by number of hours of washing cars and Cost for per hour Landscaping multiplied by number of hours of landscaping.

framing in equation form we get;

Now Number of hours he worked for landscaping

So we get;

Subtracting both side by 32 we get;

Dividing both side by 10.

Hence Jacob should work minimum of 14 hours washings cars to meet his requirement.

Explanation: