Question

A store employee performs most of the daily unit counts, but the owner personally recorded that there were 61 units remaining after 3 days and 33 units remaining after 13 days.

Answer 1

THE COMPLETE QUESTION IS:

A store employee performs most of the daily unit counts, but the owner personally recorded that there were 61 units remaining after 3 days and 33 units remaining after 13 days. Use these two data points to determine the equation for the line of best fit for the store's inventory. Write the answer in decimal form.

y = __x + __

Answer:

The equation for the line of the best fit for the store's inventory is given as:

y = -2.8x + 69.4

Step-by-step explanation:

The owner recorded that:

1. There were 61 units remaining after 3 days.

This can be written as (x, y) = (3, 61)

2. There are 33 units remaining after 13 days.

This can be written as (x, y) = (13, 33)

Together, the data points are:

x1 = 3

x2 = 13

y1 = 61

y2 = 33

We want to write these in the form

y = mx + c

Where m is the slope, and c is constant.

Let us obtain the slope using the formula

m = (y2 - y1)/(x2 - x1)

= (33 - 61)/(13 - 3)

= -28/10

= -2.8

m = -2.8

Now, we substitute into

y = mx + c

Using any of the points, we can obtain the constant c.

Let us use (13, 33)

Where x = 13, y = 33

We now have

33 = -2.8(13) + c

c = 33 + 36.4

c = 69.4

Finally, the equation becomes

y = -2.8x + 69.4