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?

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 pr class=

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Answer:

A

Step-by-step 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:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

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

We plug and find m:

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{210-90}{80-40}\\m=\frac{120}{40}\\m=3[/tex]

Equation of line is  [tex]y-y_1=m(x-x_1)[/tex]

we can plug in the values we know:

[tex]y-y_1=m(x-x_1)\\y-90=3(x-40)[/tex]

A is the correct answer.

Answer A

Step-by-step explanation: