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

Option: C is the correct answer.

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

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=(d-b)/(c-a)* (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=(40-0)/(20-0)* (x-0)\\\\\\y=(40)/(20)* x\\\\\\y=2x`

Hence, the equation is:

y=2x

Also when x=20 we have:

y=40