contestada

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.

Respuesta :

Answer:

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,

[tex]x+y\leq 20[/tex]

As Kayden must earn no less than $270,

[tex]19x+9y\geq 270[/tex]

Graph of both the inequalities are attached.

Red part denotes [tex]x+y\leq 20[/tex] and blue part denotes [tex]19x+9y\geq 270[/tex]

Solution is marked as [tex](15,3)[/tex] .

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

Ver imagen berno

Otras preguntas