Question

This year, the Holiday Festival 2020 at James Island Park is charging $20 per vehicle for admission. Johann wants to know how much money they will make for a certain amount of vehicles. He decided to start with the starting point being 0 vehicles and plot points using the average rate of charge of $20 per vehicle. When he's done, he connects the dots. His partner, Jose, claims that he shouldn't connect the points and leave them separated. Who is correct, and why?

a) Johann is correct because connecting the points shows the total revenue for different numbers of vehicles.
b) Jose is correct because connecting the points would distort the data.
c) Neither is correct because they should use a different method to calculate the total revenue.
d) Both are correct because they have different ways of visualizing the data.

Answer 1

Johann is correct in connecting the points on a graph to represent the total revenue for different numbers of vehicles as it forms a linear and continuous function.

Step-by-step explanation:

In the scenario presented, Johann is correct because connecting the points shows the total revenue for different numbers of vehicles. To explain further, this situation forms a linear relationship, as every additional vehicle brings in a constant additional revenue of $20. Therefore, plotting the points on a graph and connecting them illustrates how revenue increases linearly with each additional vehicle. The resulting line would be straight, and each point on the line corresponds to the total revenue for a particular number of vehicles. On the other hand, if the charge per vehicle were to vary or if there were restrictions on the number of vehicles allowed, the points should not be connected because it would not represent a continuous function.