please help me solve this.

Question

You work two different jobs to save up money to buy a car.

You can work at most 25 hours next week.         The babysitting job pays $7.50 per hour.             The math tutoring job pays $6 per hour               You need to earn at least $85 to cover your gas and food expenses.

Let x represent the number of hours you work at the babysitting job and let y represent the number of hours you work at the math tutoring job.

Which inequalities represent the constraints in this situation? Select two that apply.

1. x+y>25

2. x+y≤25

3. x+y<25

4. 7.50x+6y≤85

5. 7.50x+6y<85

6. 7.50x+6y≥85

Answer 1

1st equation, related to the amount you earn:

7.5x is how much you will earn working as a babysitter (amount per hour multiplied by the amount of hours worked as babysitter)

6y is how much you will earn working as a tutor (amount per hour multiplied by the amount of hours worked as tutor)

Adding the two jobs you should earn at least $85, so the total amount earned should be greater or equal than $85:

7.5x + 6y ≥ 85

2nd equation, related to the amount of hours you work:

x is the amount of hours you will work as babysitter.

y is the amount of hours you will work as tutor.

Adding the two jobs you can work at most 25 hours, so the total amount of hours worked should be less or equal than 25.

x + y ≤ 25

Answer 2

babysitting has these facts ..... 7.50 and x

math tutoring has these facts .....6 and y

So, which of the first three choices can you eliminate right off if you can work "at most 25 hours"?

Kind of like saying, "You cannot work more than 25 hours" (since you are a student).

Now, what does "at least $85" mean? Kind of like saying, "At the very least, bring home $85."

So, $85 is a minimum and you could always do with MORE.

Choices 4 and 5 have overlapping <85

Choices 4 and 6 have overlapping =85

Choices 5 and 6 have no overlap

Can you see your choice from the last three now?