Answer:
Let x be the number of hours worked in each case
Let m be the amount of dollars each of them make working in their respective jobs
Let b be the amount each of them has saved before working.
The equation that represents both cases is a line
y = m*x +b (slope intercept form)
Maryann
y1 = 6($/hour) *x + $9
Carlos
y2 = 9($/hour) *x + $3
The slopes represent the amount of dollars each of them can make in an hour
We are basically asked to find the solution of the system of equations
(amount of hours = x, and amount of $ obtained = y)
Using a graphing tool, we can easily find the intersection of both graphs, which represent the solution for the problem.
The solution is
Hours of work = x = 2
Amount of $ obtained = y = 21