1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lesechka [4]
3 years ago
10

Lia must work at least 5 hours per week in her family’s restaurant for $8 per hour. She also does yard work for $12 per hour. Li

a’s parents allow her to work a maximum of 15 hours per week overall. Lia’s goal is to earn at least $120 per week.
Write a system of inequalities to represent this situation. Let r be the number of hours worked at the restaurant, and let y be the number of hours of yard work.
Graph the inequalities.
What is the maximum number of hours Lia can work at the restaurant and still meet her earnings goal? Explain.
What is the maximum amount of money Lia can earn in 1 week? Explain.
Mathematics
1 answer:
Sedaia [141]3 years ago
4 0
Hello,

As the question states, let r be the number of hours worked at the restaurant, and y be the number of hours of yard work. We know that she can only work a maximum of 15 hours per work total, and that at she must work at least 5 hours in the restaurant. Therefore:r + y ≤ 15r ≥ 5We also know that she wants to earn at least 120 dollars, earning $8/hr in the restaurant and $12/hr in the yard:8r + 12y ≥ 120
What is the maximum of hours Lia can work in the restaurant and still make at leas 120 hours? Lia's parents won't let her work more than 15 hours, so we know that the answer won't be higher than 15.If she worked all 15 hours in the restaurant, she would make 8*15 = 120.The maximum number of hours she can work in the restaurant is therefore 15 hours
What is the maximum amount of money Lia can earn in a week? Lia has to work a minimum of 5 hours in the restaurant. She makes more money doing yard work, so she should devote the rest of her available work hours to yard work. That means that, given her 15 hour work limit, she will maximize her income by working 5 hours in the restaurant and 10 hours in the yard. 5*8 + 10*12 = 40 + 120 = 160The most she can make is 160 dollars, working 5 hours in the restaurant and 10 hours in the yard

Hope this helps

~Girlygir101~
You might be interested in
I don't understand raitos please help solve math problems
ollegr [7]
1st is to make the numbers into ratios. Basically taking the two numbers and putting them in the middle. I’ll do the 1st 15:36.
Next you put it into a fraction: 15/36
Put in the comments if you want me to do all or if you have any questions!
4 0
3 years ago
I do not see the mistake. Can someone please help me find it?
nikdorinn [45]
3rd one ( not 20 characters so ASHWDHWHEIUCNEJEIH)
4 0
3 years ago
liza's friend marie bought her a dress for 250 euros in france. liza wants to pay marie for it in u.s. dollars. if the foreign e
Rudik [331]
1/ 0.6 = x / 250..1 dollar to 0.6 euros = x dollars to 250 euros
cross multiply
(0.6)(x) = (250)(1)
0.6x = 250
x = 250/0.6
x = 416.67 american dollars
8 0
3 years ago
Read 2 more answers
PLS HELP <br> If r = 3s + 1 and t = s - 4, what is r in terms of t?
kirill [66]
R = 3(t+4) + 1
Hope it helps
7 0
3 years ago
The sum<br> of three consecutive integers is - 126. What are the integers?
Leno4ka [110]
Let the three consecutive integers be x , x+1 ,x+2
Given, sum of three consecutive integers = -126
x +x+1+ x+2 = -126
3x +3 = -126
3x = -126 -3
3x = -129
x = -129/3
x = - 43
x +1 = -42
x +2 = -41
4 0
3 years ago
Other questions:
  • Help please in algebra ​
    12·1 answer
  • What is the first step when rewriting y = 6x2 + 18x + 14 in the form y = a(x – h)2 + k?
    10·2 answers
  • Plz help ill give u brainlist
    15·1 answer
  • The density of a fish tank is 0.5 fish over feet cubed . There are 30 fish in the tank. What is the volume of the tank? (1 point
    12·1 answer
  • London mixes 6 parts yellow paint with 3 parts blue paint to make green. She adds 1 more part of yelow to change the
    15·1 answer
  • Explain the amendment process in your own words. Or, you can use the following chart to fill in details about the amendment proc
    14·1 answer
  • What is what3 2/3 + 3/5 as a fraction brainly
    5·2 answers
  • Someone please answer this
    11·1 answer
  • 9. What is the correct factorization of<br> x2 + 13x + 30?
    12·1 answer
  • 1/13
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!