Maths-

General

Easy

Question

# Planet Wiener receives $2.25 for every hotdog sold. They spend $105 for 25 packages of hot dogs and 10 packages of buns. Think of the linear function that demonstrates the profit based on the number of hotdogs sold

Rate of Change:___________

Initial Value:______________

Independent Variable:______

Dependent Variable:________

EQ of Line:________________

Hint:

### $105 is an investment made before earning any profit.

## The correct answer is: Equation of line : y = 2.25x – 105

### SOL – Let Dependent Variable : x given by no of hotdog sold

Independent Variable : y given by profit earned

It is given that Planet Wiener receives $2.25 for every hotdog sold.

Rate of change : 2.25

We know that Slope of the line = Rate of Change

So, m = 2.25 ---- (1)

Planet Wiener spends $105 for 25 packages of hot dogs and 10 packages of buns. (See it as an investment made before earning any profit. So, these $105 will actually be considered in ‘-’)

Initial Value : - 105

This initial value is obtained when no of hotdogs sold, x = 0 i.e., it will act as y – intercept, c = - 105 ---- (2)

Using slope intercept form equation of a line is given by

y = mx + c where m is slope and c is y – intercept.

Equation of line : y = 2.25x – 105 ( From (1) and (2) )

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