Question

Dean is the manager of a restaurant and is evaluating whether or not the restaurant has enough parking spaces. At ten different times during the day, he gathered information about the number of customers in the restaurant and the number of cars in the parking lot. He represented the data with the given scatter plot and modeled the data with a linear equation. A graph of restaurant parking with customers on the x-axis and cars on the y-axis. The diagonal line spans from (0, 2.5) to (100, 35) with red dots at (15, 5), (30, 11), (40, 17.5), (55, 18), (60, 25), (70, 27), (85, 27), (90, 32.5), and (100, 35). Based on the model, approximately how many customers will be in the restaurant when there are 10 cars parked in the restaurant's parking lot?

1) 28
2) 23
3) 7
4) 12

Answer 1

Approximately 23 customers will be in the restaurant when there are 10 cars parked in the parking lot.

Step-by-step explanation:

The scatter plot represents the relationship between the number of customers in the restaurant and the number of cars in the parking lot. Based on the scatter plot, a linear equation has been modeled to estimate the number of customers for a given number of cars. To determine the approximate number of customers when there are 10 cars parked, we can use the linear equation. From the scatter plot, we can see that when there are 10 cars, the number of customers is around 23.