Question

After the booster club sold 40 hotdogs at a football game, it had $90 in profit. After the next game, it had sold a total of 80 hotdogs and had a total of $210 in profit. Which equation models the total profit,y, based on the number of hotdogs sold, x?

Answer 1

Answer A

Explanation:

Answer 2

A

Explanation:

We can use (hotdogs sold(x), profit(y)) as a coordinate pair to come up with 2 points and then use the formula for equation of a line to figure this out.

Thus, the 2 coordinate points are:

(40, 90) and (80, 210)

Finding the slope, m, as:

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

Where x_1 = 40, y_1=90 AND x_2 = 80 and y_2 = 210

We plug and find m:

`m=(y_2-y_1)/(x_2-x_1)\\m=(210-90)/(80-40)\\m=(120)/(40)\\m=3`

Equation of line is
`y-y_1=m(x-x_1)`

we can plug in the values we know:

`y-y_1=m(x-x_1)\\y-90=3(x-40)`

A is the correct answer.