Question

The graph shows the relationship between the volume of a rectangular prism and the volume of a square pyramid with an identical base and height.

A coordinate plane showing Prism versus Pyramid. The x-axis shows Pyramid Volume in cubic units and the y-axis shows Prism Volume in cubic units. The line starts at (0, 0) and passes through (1, 3), (2, 6) and (3, 9).

What is the slope of the line?

−3


3

Answer 1

Answer:

Is there a picture

Step-by-step explanation:

Answer 2

Given :  graph showing the relationship between the volume of a rectangular prism and the volume of a square pyramid with an identical base and height.

The line starts at (0, 0) and passes through (1, 3), (2, 6) and (3, 9).

To Find :  slope of the line

A.−3

B.-1/3

C.1/3

D.3

Solution:

Points

x = Pyramid Volume in cubic units

y = Prism Volume in cubic units.

x     y

0     0

1      3

2     6

3     9

For Each unit change in x , there  is 3 unit change in y

Slope of line =  3/1 = 3

Slope of line  = ( 3- 0)/(1 - 0)  = 3  

option D is correct

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