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.