Question

Beth records the height of a plant for 8 weeks and creates a scatter plot of the data. What is the equation of the line of best fit? What will the plant’s height be in 20 weeks?
A) The equation is y = 2x + 5, and the height is 40 inches.
B) The equation is y = -2x + 5, and the height is 35 inches.
C) The equation is y = 2x, and the height is 40 inches.
D) The equation is y = 2x, and the height is 35 inches

Answer 1

Answer:

Option: C is the correct answer.

  C) The equation is y = 2x, and the height is 40 inches.

Step-by-step explanation:

We could clearly observe that the line of best fit passes through the point (0,0) and (20,40)

We know that the equation of a line passing through point (a,b) and (c,d) is calculated by the help of the formula:

$y-b=\dfrac{d-b}{c-a}\times (x-a)$

Here we have:

(a,b)=(0,0) and  (c,d)=(20,40)

Hence, the equation of line of best fit is:

$y-0=\dfrac{40-0}{20-0}\times (x-0)\\\\\\y=\dfrac{40}{20}\times x\\\\\\y=2x$

                  Hence, the equation is:

                         y=2x

Also when x=20 we have:

                     y=40