One week, Makayla earned $142.20 at her job when she worked for 6 hours. If she is paid the same hourly wage, how many hours would she have to work the next week to earn $829.50?

I belive the number you are searching for is 35.

Step-by-step explanation:

Simply divide 142.20 by 6 to get the hourly wage(23.70). Divide 829.50 by the hourly wage to get the answer. (35)

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is