Question

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.

Answer 1

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:

`x+y\le16`

Earn no less then 180

`8x+18y\ge180`

Inequality in graphical form:

One possible is :

Value of "x" is:10.8

Value of "y" is : 5.2