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 drew the line of best fit.

Based on the line of best fit, approximately how many customers will be in the restaurant when there are cars parked in all 40 of the restaurant's parking spaces?

A.
115
B.
140
C.
145
D.
170

Answer 1

there will be about 115 customer

Explanation:

the y intercept is 2.5

(0,2.5) (100 ,35)

the slope is (y2-y1)/(x2-x1)

m = (35-2.5)/(100-0)

m= (32.5)/100

m = .325

y = mx+b

y = .325x+2.5

let y =40 for 40 cars in all the spot

40 = .325 x + 2.5

subtract 2.5

37.5 =.325 x

divide by .325

37.5 /.325 = x

115.4 = x

there will be about 115 customer