Question

Kayla tutors for $20 an hour, and shovels snow for

$15 an hour. Kayla hopes to make at least $50 between
her two jobs, but she can only work a maximum of 3
hours. Write a system of inequalities to represent the
context.

Answer 1

x = hours tutoring

y = hours shoveling snow

so Kayla will be tutoring for "x" hours at 20 bucks a pop, so she'll make a total amount of 20*x or 20x.

Kayla is going to be shoveling snow "y" hours at 15 bucks a pop, so she'll make the whooping amount of 15*y or 15y.

whatever "x" and "y" are, their sum must be no more than 3

x + y ⩽ 3

whatever the sums of 20x and 15y are, their sum must be at least 50 bucks

20x + 15y ⩾ 50