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:________________

hintHint:

$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.
    rightwards double arrow 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 ‘-’)
    rightwards double arrow 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.
    rightwards double arrow Equation of line : y = 2.25x – 105       ( From (1) and (2) )

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