Question

The table shows the relationship of how many pounds of pecans are needed to make a certain number of pies:

Answer 1

Answer:

B

Step-by-step explanation:

I did this and the answer was correct, It's B. Hope this helped have a wonderful day! <3

Answer 2

Let us take no. of pies to be x (will be represented in the horizontal, x-axis) and  no. of pounds of pecans to be y (will be represented in the vertical y-axis).

The points will be

(x₁, y₁) = (2,3)

(x₂,y₂) = (4,6)

(x₃,y₃) = (6,9)

The slope, m = (Change in y)/(change in x)

So, here the slope, m = (6-3)/(4-2) = 3/2

We need to find the graph with the slope 3/2 from the given options.

Option A : Slope = (20-10)/(30-15) =10/15 =2/3 : NO

Option B : Slope = (30-15)/(20-10) = 15/10 =3/2 : YES

Option C : Slope = (10-10)/(25-10) =0 : NO

Option D : Slope = (20-30)/(20-10) = -10/10 =-1 :NO

So, we see that of the given options only graph of option B has the same slope as the given relationship.

Hence, option B is the answer.