What is the slope of the line?
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.
Prism vs. Pyramid
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Prism Volume (cubic units)
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1
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2
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4
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5
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7
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8
9
10

The slope of the line must be 3

Step-by-step explanation:

The picture of the question in the attached figure

step 1

we know that

The volume of a rectangular prism is equal to

----> equation A

where

B is the area of the base of the prism

h is the height of the rectangular prism

step 2

The volume of a square pyramid is equal to

-----> equation B

where

B is the area of the square base of pyramid

h is the height of the pyramid

step 3

substitute equation A in equation B

Find the relationship between the volume of  a rectangular prism and the volume of a square pyramid

therefore

The slope of the line must be 3

let's check it

To solve for the slope of the line, you must choose two coordinates first and use the formula

Choosing the points (2,6) and (3,9)

substitute

----> is correct

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have