Kayden is working two summer jobs, making $19 per hour lifeguarding and making $9 per hour walking dogs. In a given week, he can work no more than 20 total hours and must earn no less than $270. If xx represents the number of hours lifeguarding and yy represents the number of hours walking dogs, write and solve a system of inequalities graphically and determine one possible solution.

Kayden spends 15 hours lifeguarding and 3 hours walking dogs

Graph is attached.

Step-by-step explanation:

Given: x represents the number of hours lifeguarding and y represents the number of hours walking dogs.

Kayden is asking $19 per hour lifeguarding and making $9 per hour walking dogs

To find: system of inequalities graphically and one possible solution

Solution:

As Kayden can work no more than 20 total hours,

As Kayden must earn no less than $270,

Graph of both the inequalities are attached.

Red part denotes and blue part denotes

Solution is marked as .

So, Kayden spends 15 hours lifeguarding and 3 hours walking dogs.

step-by-step explanation:

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)