Question

A restaurant investigated the correlation between prices and the number of customers. The linear model below represents this situation, where x is the average meal price [in dollars], and y is the number of daily customers. Interpret the slope. A. The average number of daily customers is 18. B. The average price per meal is $18. C. If the average meal price decreases by $1, the number of daily customers decreases by 18. D. If the average meal price increases by $1, the number of daily customers decreases by 18.

Answer 1

Answer: correct answer is D

That is, If the average meal price increases by $1, the number of daily customers decreases by 18.

Explanation:

Given that the linear model below represents this situation, where x is the average meal price (in dollars), and y is the number of daily customers. Interpret the slope.

y = 437 - 18x

Since x = the average meal price.

and

y is the number of daily customers.

Let x = 1

Y = 437 - 18 = 419

If x = 2 then

Y = 437 - 36 = 401

The difference between the number of daily customers is

419 - 401 = 18

Therefore, If the average meal price increases by $1, the number of daily customers decreases by 18.