Question

Choose the equation and the inequality needed to answer this 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? Let x equal the number of hours he tutors and y be the number of hours he scoops ice cream.

(SELECT ALL THAT APPLY)

x + y < 15

15 x + 10 y > 180

x + y = 15

15 x + 10 y < 180

x + y > 15

15 x + 10 y = 180

Answer 1

See below

Explanation:

Trevor's total icome for the week in question is the sum of hours worked for each activity times the pay in $/hr.

French = 15x [total income from tutoring French is x hours times $15/hr.

Scooping Ice Cream = 10y [total income from scooping is y hours times $10/hr.

Total Income = 15x + 10y

We are told that x + y = 15 (No more, no less}

Trevor wants more than $180 for the week (Not less or at least]

15x + 10y > 180

Rearrange x + y = 15 to y = 15 - x and substitute:

15x + 10(15-x) > 180

15x + 150 - 10x > 180

5x = 30

x > 6

Trevor must tutor at least 6 hours to earn $180 or more.

===

Choose the equation and the inequality needed to answer this question.

(SELECT ALL THAT APPLY)

x + y < 15 NO [Trevor will work 15 hours, not less]

15 x + 10 y > 180 YES See above derivation.

x + y = 15 YES See above derivation.

15 x + 10 y < 180 NO [Trevor wants at least (=>) 180]

x + y > 15 NO [Trevor will work 15 hours, not more]

15 x + 10 y = 180 NO [Trevor wants at least (=>) 180]