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Oliver is working two summer jobs, making $8 per hour babysitting and making $18 per hour lifeguarding. In a given week, he can work no more than 16 total hours and must earn no less than $180. If xx represents the number of hours babysitting and yy represents the number of hours lifeguarding, write and solve a system of inequalities graphically and determine one possible solution.

Sagot :

Given:

Making 8 per hours babysitting

Making 18 per hours lifegaurding.

Earn no less then $180

Work nno more then 16 hours:

Find: Value of "x" and "y"

Sol:.

No more work in 16 hours then:

[tex]x+y\le16[/tex]

Earn no less then 180

[tex]8x+18y\ge180[/tex]

Inequality in graphical form:

One possible is :

Value of "x" is:10.8

Value of "y" is : 5.2

View image MadysonK783268