Answer:
c) 9 hours of babysitting and 6 hours in ice cream shop.
10 hours of babysitting and 5 hours in ice cream shop.
Step-by-step explanation:
We are given the following in the question:
Earning from babysitting = $12 an hour
Earning from ice-cream shop = $10 an hour
Let x be number of hours for babysitting in a week and y be the number of hours working in ice cream shop in a week
a) Bailey is only allowed to work a maximum 16 hours a week. Thus, the sum of hours in a week together from ice cream shop and babysitting should be less than equal to 16. Thus, the inequality to represent the number of hours Bailey can work can be written as
b) Bailey wants to make at least $100 a week. Thus, the sum of total earning from ice cream shop and babysitting should be greater than 100 dollars. Thus, the inequality to represent the total earning of Bailey can be written as
c) The attached image shows the graph for the two inequalities.
The black region shows the solution to inequality to represent the number of hours and red region represents the solution to inequality for the total earning of Bailey.
c) The common shaded region gives the solution to both the inequalities.
Any two possible combination for the possible combinations of hours Bailey could work from graph are:
(9,6), (10,5)
9 hours of babysitting and 6 hours in ice cream shop.
10 hours of babysitting and 5 hours in ice cream shop.
