Question

Please help me!

A store owner recorded the total number of customers that visited his store at the end of each hour that the store was open. He created the scatterplot, trend line, and equation below based on the data.


Store Customers



Assuming that the trend continues, which is the best estimate for the number of hours that the store will have been open when the total customer count is 310?
11
12
13
14

Answer 1

x = 12 hours will be the best estimated time.

Explanation:

In the graph attached y value represents the number of customers and x values represent the time in hours the shop is open.

Equation which represents the whole system is y = 25.36x - 0.23

Now for the value of y = 310 we have to calculate the value of x.

We plug in the point (x, 310) in the equation

310 = 25.36x - 0.23

25.36x = 310.23

`x=(310.23)/(25.36)=12.23`

Therefore the best estimate of hours that the store will have been open will be 12.