#13 the high school gym is capable of seating 1,500 people. for each game, the amount of money that the…

Explanation:

Step1: Identify the constraints for the number of people

The number of people $n$ in attendance cannot be negative and is limited by the gym's seating capacity. $n\geq0$ and $n\leq1500$

Step2: Determine the domain

The domain of the function (the set of all possible input - values for the number of people $n$) is all non - negative integers up to the seating capacity of the gym. Since the number of people must be an integer, the domain is $0\leq n\leq1500$ and $n\in\mathbb{Z}$

Answer:

$0\leq n\leq1500$, $n\in\mathbb{Z}$

For #14:

Explanation:

Step1: Calculate the slope

Assume two points on the line: Let's say the line passes through $(0,300)$ and $(10,1800)$. The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here $x$ represents some independent variable (not given explicitly in the problem statement but could be related to time or some other factor), and $y$ represents the revenue. $m=\frac{1800 - 300}{10-0}=\frac{1500}{10}=150$

Step2: Find the y - intercept

The y - intercept is the value of $y$ when $x = 0$. From the graph, when $x = 0$, $y=300$

Step3: Interpret the y - intercept

The y - intercept represents the revenue when the number of people in attendance is 0. It could be some fixed revenue (e.g., sponsorships, advertising) that the school gets even if no one buys a ticket.

Answer:

a. 150 b. 300 c. The revenue when the number of people in attendance is 0, which could be non - ticket revenue such as sponsorships or advertising.