Question

You work a maximum of 40 hours a week. You need to make $400 in order to cover your expenses. Your office job pays $12 an hour and your baby sitting job pays $10 an hour. How many hours could you work at each job to make at least $400? (Hint: set up your system, then plot each answer to see if it is a solution). A (0,40) D (8,32) G (25,11) B (40,0) E (9,30) H (30,6) C Dy (6,33) F (12,27) (34,1)

Answer 1

1) Gathering the data

Maximum 40h per week

at least $400

$12 per hour in the office

$10 babysitting

2) Let's set a Linear System of Equation, by setting one equation for the revenues and the earning

And the 2nd one for the hours. So, calling o, for the office job and b, for babysitting job:

12o + 10b ≤ 400

o + b ≤ 40

3) Now let's plot those inequalities to check and compare those options.

Now let's visualize a possible solution:

(0,40), (40,0)

So you could work either 40 hours only on the babysitting job or 40h