Question

Suppose you have a job teaching swimming lesson and get paid $6 an hour you also have a job as a chasier and get pay $8 and hour if you cannot work more than 15 hours a week what are the number you f hours you can work at each job and still make at least $100

Answer 1

You can work no more than 10 hours teaching, and must work at least 5 hours cashiering. The remaining hours can be worked at the other job until the goal is reached.

Explanation:

The restrictions give rise to two inequalities. If we ...

let x represent teaching hours

let y represent cashiering hours

then the restrictions are ...

x + y ≤ 15 . . . . total hours cannot exceed 15

6x +8y ≥ 100 . . . . you want to earn at least $100

The solution set for these inequalities is a triangular area on a graph with vertices at ...

(x, y) = (10, 5), (0, 12.5), (0, 15)

You must work at least 5 hours cashiering, and the remainder of necessary time at teaching.