type the correct answer in each box. use numerals instead of words.\nthe owner of a retail store is tracking…

type the correct answer in each box. use numerals instead of words.\nthe owner of a retail store is tracking his inventory for an annual report. the graph below shows the remaining inventory for a particular item and the number of days that have passed since the stock was replenished.\na 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 stores inventory. write the answer in decimal form.\ny = x +

type the correct answer in each box. use numerals instead of words.\nthe owner of a retail store is tracking his inventory for an annual report. the graph below shows the remaining inventory for a particular item and the number of days that have passed since the stock was replenished.\na 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 stores inventory. write the answer in decimal form.\ny = x +

Answer

Explanation:

Step1: Calculate the slope

The slope $m$ of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $(x_1,y_1)=(3,61)$ and $(x_2,y_2)=(13,33)$. So, $m=\frac{33 - 61}{13 - 3}=\frac{- 28}{10}=-2.8$.

Step2: Calculate the y - intercept

We use the point - slope form of a line $y - y_1=m(x - x_1)$ and then convert it to the slope - intercept form $y=mx + b$. Using the point $(3,61)$ and $m=-2.8$, we have $y-61=-2.8(x - 3)$. Expand the right side: $y-61=-2.8x+8.4$. Add 61 to both sides to get $y=-2.8x + 69.4$.

Answer:

$y=-2.8x + 69.4$