Question

Cassidy is selling popcorn for a fundraiser sale at the price shown.

1.) How much were Cassidy’s upfront costs?
2.) Write the function that models Cassidy’s profit.
3.) What is Cassidy’s profit if he does not sell any popcorn?
4.) What is Cassidy’s profit if he sells all of the popcorn?
5.) What is the range of the function?

Answer 1

Answer:5.50%

Explanation:

Answer 2

The answers to the questions posed are :

• Upfront cost = 5.50
• profit equation : y = 1.5x - 17
• profit if no popcorn is sold = 17
• profit if all popcorn are sold = 208.5

The profit model :

• y = bx + c

calculating the intercept (fixed cost), c ;

1.5(15) - upfront

22.5 - 5.5 = 17

The profit function:

• y = 1.5x - 17

C.)

Profit if no popcorn is sold :

x = 0

y = 1.5(0) - 17

y = 0 - 17

y = 17

Hence, profit made is -$17

4.)

if all popcorns is sold :

• x = 150 - 15 = 135

y = 1.5(150) - 17

y = 225.5 - 17

y = 208.5