(12 points and a brainlist) Cassidy is selling popcorn for a fundraiser sale at the price shown.

A photo of a container of popcorn is shown. The price tag reads one dollar and fifty cents.

He purchases a total of 150 containers of popcorn to sell. After he sells 15 containers, he will make a total profit, after his upfront costs, of $5.50. Cassidy’s profit, after upfront costs, can be modeled by a linear function in the form y=mx+b.

Question 1
Part A

What is the slope of the line that models the function?

Enter the correct answer in the box.

Question 2
Part B

How much were Cassidy’s upfront costs?

Enter the correct answer in the box

$$
Question 3
Part C

Will the function be discrete or continuous? Explain.

Continuous, because the profit increases continuously.

Discrete, because Cassidy sells whole containers of popcorn.

Continuous, because popcorn can fill fractions of a container.

Discrete, because the price of a container is constant.
Question 4
Part D

Write the function that models Cassidy’s profit.

Enter the correct equation in the box.

$\Sigma$
$x$$y$
Question 5
Part E

What is the domain of the function?

all whole numbers from 0 to 208

all real numbers from 0 to 208

all whole numbers from 0 to 150

all real numbers from 0 to 150
Question 6
Part F
What is Cassidy’s profit if he does not sell any popcorn?

Enter the correct answer in the box.

dollars
Question 7
Part G

What is Cassidy’s profit if he sells all of the popcorn?

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$
Question 8
Part H

What is the range of the function?

Enter the correct answers in the boxes.

whole-number multiples of
from
to