Question

complete parts (a)-(d)
about the line of best fit for the scatter plot data shown. identify any incorrect statements. correct his error(s)
b. using extrapolation, no toys will be sold on the tenth day. select the correct choice below and, if necessary, fill in the answer box within your choice
a. the statement is correct
b. the statement is incorrect. extrapolation cannot be used to predict the number of toys that will be sold on the tenth day.
c. the statement is incorrect. using extrapolation, the number of toys sold on the tenth day will be ____ toy(s)

Explanation:

Step1: Find line of best fit equation

First, identify two points on the line of best fit, e.g., $(0, 50)$ and $(10, 0)$ is incorrect; instead, use valid points like $(0,50)$ and $(8,10)$. Calculate slope:
$$m=\frac{10-50}{8-0}=\frac{-40}{8}=-5$$
The y-intercept $b=50$, so the equation is $y=-5x+50$, where $x$ is days, $y$ is toys sold.

Step2: Predict for day 10

Substitute $x=10$ into the equation:
$$y=-5(10)+50=-50+50=0$$

Step3: Evaluate the statement

The original statement says "no toys will be sold on the tenth day", which matches our calculation, so the statement is correct.

Answer:

A. The statement is correct