Question

Suzie babysits for $6 per hour. She also works as a housecleaner for $9 per hour. She is only allowed to work 15 hours per week. She wants to make at least $95 per week. If we call babysitting, x, and housecleaning, y, which of the solutions would fit this scenario?

Answer 1

x+y≤15

6x+9y≥95

Explanation:

Let x be the hours worked for babysitting and let y be the hours worked for house cleaning.

As Suzie babysits for $6 per hour. She also works as a house cleaner for $9 per hour.

Total hours she can work= 15 hours per week.

Hence,

x + y is less than or equals to 15

But since she wants to make at least $95 per week. It implies that,

6x + 9y is greater than or equal to 95

So from the statements above, the equations will be:

x+y≤15

6x+9y≥95