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After the booster club sold 40 hot dogs at a football game, it had $90

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

2 months ago

Solution 1

Guest Guest #301
2 months ago

Answer:

Required equation y = 3x-30

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: y = m x + b ......[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

90 =40m + b ......[1]

Profit for 80 hot dogs = $210 profit

The system of equation form is

210 =80m + b .......[2]

The solution of equations [1] and [2]

Subtract equation [1] and [2]

210-90 = 80m-40m + b-b

120 = 40m

\frac{120}{40} = m

3 = m

Substitute in equation [1]

90 =40(3) + b

90 =120+ b

b=-30

Substitute the values in equation [A]

y = 3x-30

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

Solution 2

Guest Guest #302
2 months ago
The correct answer would be: y-90=3(x-40)

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