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1. Jenna works part-time at the Toler Family Luxury Horse Stables. She makes $7 an hour
for exercising horses and $15 an hour for cleaning stalls. Jenna is a full-time student and
cannot work more than 20 hours per week. Jenna needs to work enough to earn at
least $165 each week
Part A: Write a system of inequalities that describes this situation.
Part B: Graph the system of to show all possible outcomes
Part C: Determine the maximum amount of money Jenna can earn each week.

Respuesta :

lucic

The maximum amount of money she can earn each week is $165

Step-by-step explanation:

Lets assume the hours taken for exercising horses to be x

Lets assume the hours for  taken cleaning stalls to be y

she makes $7 an hour for exercising horses

she makes $15 an hour for cleaning stall

Jenna can not work more than 20 hours per week, this gives the inequality

x+y ≤ 20

Jenna needs to work enough to earn at least $165 each week which is;

7x + 15y ≥ $ 165

From the graph, the maximum amount of money is made where (x,y) is (16.875,3.125)

=7*16.875 + 15*3.125

=118.125+46.875 =$ 165

Learn More

  • To graph an inequality : https://brainly.com/question/2726610
  • Graphing a function : https://brainly.com/question/3423084

Keywords : inequalities

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