Question

Jiao works at least 36 h/wk. She earns $15 /h as a science tutor and $25 /h as a teacher. The number of hours Jiao works as a teacher ( y ) is at least twice the number she works as a tutor ( x ). Write a set of inequalities represents the constrai nts in this situation?

Answer 1

Answer:

The set of inequalities that represent this situation is

$x+y\geq 36$  and $y \geq 2x$

Step-by-step explanation:

Let

x -----> the number of hours Jiao works as a tutor in a week

y -----> the number of hours Jiao works as a teacher in a week

we know that

$x+y\geq 36$ -----> inequality A

The solution of the inequality A is the shaded area above the solid line $x+y=36$

$y \geq 2x$ -----> inequality B

The solution of the inequality B is the shaded area above the solid line $y=2x$ 

The solution of the system of inequalities is the shaded area between the positive values of x and y

see the attached figure