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

Answer:

x = 12 hours will be the best estimated time.

Step-by-step 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

$x=\frac{310.23}{25.36}=12.23$

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

Answer 2

Answer:

Option C.

Step-by-step explanation:

The equation of trend line is

$y=25.36x-0.23$

We need to find the number of hours that the store will have been open when the total customer count is 310.

Substitute y=310 in the given equation.

$310=25.36x-0.23$

Add 0.23 on both sides.

$310+0.23=25.36x-0.23+0.23$

$310.23=25.36x$

Divide both sides by 25.36.

$\frac{310.23}{25.36}=\frac{25.36x}{25.36}$

$x\approx 12.233$

Between 12 and 13 hours the total customer count is 310. At 12 hours the number is customer is less than 310. So, the required number of hours is 13.

Therefore, the correct option is C.