Question

Ms. Mistovich and Ms. Nelson are having a competition to see who can get morestudents to bring in extra tissues for their classroom. Ms. Mistovich starts with 4 boxesand each week she gets two more boxes from her students. Ms. Nelson starts with 1box and each week she gets 3 more boxes from her students. Write a system ofequations to represent the situation. (1 pt)y=2x+4y=3x+1Ooy=2x+4y=2x+3y=4x+2y=3x+1y=2x+3y=4x+1o

Answer 1

To write an equation, it is enough to know the rate of change (slope) and the initial value (y-intercept).

The equation of a line of slope m and y-intercept b is:

`y=mx+b`

For Ms. Mistovich, the initial value is 4 and the rate of change is 2.

For Ms. Nelson, the initial value is 1 and the rate of change is 3.

Therefore, the equations that model this situation, are:

`\begin{gathered} y=2x+4 \\ y=3x+1 \end{gathered}`