Question

Mr. Gilmore sells furniture. He earned $210 for selling 3 sofas. Mr. Gilmore

earned $570 for selling ll sofas. Which of the following equations represents this
situation, where s represents the number of sofas Mr. Gilmore sold and e
represents the amount he earned?

Answer 1

Let s represent the number of sofas and e represent the amount earned.

We have been given that Mr. Gilmore sells furniture. He earned $210 for selling 3 sofas. Mr. Gilmore earned $570 for selling 11 sofas. We are asked to write the equation for given scenario.

We have two points on a line that are (3,210) and (11,570).

Let us find slope of line passing through these points.

`m=(y_2-y_1)/(x_2-x_1)`

`m=(570-210)/(11-3)`

`m=(360)/(8)`

`m=45`

Now we will use point-slope form of equation.

`y-y_1=m(x-x_1)`, where

m = Slope,

`(x_1,y_1)` = Any point on line.

`y-210=45(x-3)`

`y-210=45x-135`

`y-210+210=45x-135+210`

`y=45x+75`

Since amount earned is e and number of sofas is s, so our equation would be
`e=45s+75`.

Therefore, our required equation would be
`e=45s+75`.