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

Required equation

Step-by-step explanation:

Given : After the booster club sold 40 hot dogs at a football game, it had $90 in profit. After the next game, it had sold a total of 80 hot dogs and had a total of $210 in profit.

To find : Which equation models the total profit,y,based on the number of hot dogs sold,x ?

Solution :

Let x = total number of hot dogs sold

y = total profit from total sales of hot dogs

We can model the equation: ......[A]

where, y is the total profit and x is the number of hot dogs sold.

Profit for 40 hot dogs = $90 profit

The system of equation form is

......[1]

Profit for 80 hot dogs = $210 profit

The system of equation form is

.......[2]

The solution of equations [1] and [2]

Subtract equation [1] and [2]

Substitute in equation [1]

Substitute the values in equation [A]

This is the required equation models the total profit based on number of hot dogs.