Question

The table includes data collected on popcorn sales at a local carnival.

Popcorn price (dolara)
Average number of cups sold
0.00
150
0.00
136
Create a scatter plot from the data. Which statement best describes
the relationship?
negative and linear, as the price of popcorn goes up, the number
of cups sold goes down
positive and non-linear, as the price of popcom goes up, the
number of cups sold goes up and then goes down
positive and linear, as the price of popcorn goes up, the number of
cups sold goes up
negative and non-linear, as the price of popcorn goes up, the
number of cups sold goes down and then goes up
Clear my selection

Answer 1

Due to the incorrect data provided, stating the popcorn price as $0.00 for both entries, a scatter plot cannot be accurately created to determine the relationship between popcorn price and average number of cups sold.

Step-by-step explanation:

Creating a Scatter Plot and Describing the Relationship

To create a scatter plot from the given data on popcorn sales at a local carnival, we would plot popcorn price on the x-axis as the independent variable and the average number of cups sold on the y-axis as the dependent variable. However, the provided data set seems to contain a mistake since the popcorn price is listed as $0.00 for both entries, which will not allow us to observe any variability related to price changes. Therefore, to properly answer the question, we need a range of popcorn prices associated with the average number of cups sold.

Assuming that the data set should list increasing popcorn prices instead of $0.00 for both entries, we could potentially observe either a negative and linear relationship (if as the price increases, the sales decrease) or a positive and nonlinear relationship (if sales initially increase with price to a certain point and then decrease).

Unfortunately, with the given data, neither a scatter plot can be accurately drawn nor can any relationship be properly described. The values indicating the popcorn price should be varied in order to determine the type of correlation between price and sales, whether negative, positive, linear, or nonlinear.