Question

trevor tutors french for $15 and hour and scoops ice cream for $10 an hour. he is going to work 15 hours this week. at least how many hours does he need to tutor to make more than $180?? ____ hours

Answer 1

x + y > 15 and 15 x + 10 y > 180

Solution:

The question asks you to choose the equations which lets Trevor make more than $180. Not less than or equal to.

So the two answers I believe you are looking for are 15 x + 10 y > 180 and x + y > 15.

x + y > 15 is more than 15 hours which should be more than 180$

and 15 x + 10 y > 180 has 15 x + 10y being greater than 180

There is also this equation

x + y = 15

Which if Trevor only wants to work 15 hours that week and he works 10 hours tutoring and 5 hours scooping ice cream he should get $200 which is over $180. Though we aren't sure how many hours for each job is and for the other equations it's more obvious he would be making over $180. I was told there were only 2 answers though so I hope you get this right for whoever is reading this.

10 x 15 = 150

5 x 10 = 50

Answer 2

Total number of hours = 15

Let the hours spent tutoring french be x.

Therefore hours spent on scooping ice cream = (15 - x)

Amount: Tutoring french is $15 an hour, total for x hours = 15x

For scooping ice cream it is $10 an hour 10*(15 - x) = 150 - 10x

To make more than $180

15x + (150 - 10x) > 180

15x + 150 - 10x > 180

15x - 10x > 180 - 150

5x > 30

x > 30/5

x > 6

So he needs to tutor more than 6 hours in order to make more than $180