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?

A.−3
B.-1/3
C.1/3
D.3

Answer 1

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

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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