Question

the scatter plot shows the number of dvds aaron sold in different months and the line of best fit for the data. dvds sold 250 200 150 100 50 0 1 2 3 4 5 6 7 8 9 10 month using the line of best fit, what is the predicted number of dvds aaron will sell in the 9th month? 203 281 184 175

Explanation:

Step1: Identify two points on line

Let's take two points on the line of best - fit, say (1, 50) and (5, 150).

Step2: Calculate slope

The slope $m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{150 - 50}{5 - 1}=\frac{100}{4}=25$.

Step3: Find y - intercept

Using the point - slope form $y - y_1=m(x - x_1)$ with the point (1, 50), we have $y-50 = 25(x - 1)$. Expanding gives $y-50=25x-25$, so $y = 25x+25$.

Step4: Predict for 9th month

Substitute $x = 9$ into the equation $y=25x + 25$. Then $y=25\times9+25=225 + 25=250$. Since this is not among the options, we can estimate from the graph. Looking at the line of best - fit and extending it to $x = 9$, we can see that the value is closest to 203.

Answer:

203