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A solid has volume 7 cubic units. The equation k =
represents the scale factor of k by which
the solid must be dilated to obtain an image with volume V cubic units. Select all points which are
on the graph representing this equation.
a. (0,0)
e. (14,2)
b. (1,1)
f. (49,2)
C. (1,7)
(
g. (56,2)
(71)
h (27,3)

Sagot :

MrRoyal

The volume of the solid is the amount of space in it.

The points on the graph are (0,0) and (1,7)

How to determine the points?

The volume is given as:

V1 = 7

The scale factor is given as:

k

Let the new volume be V.

So, we have:

V = V1 * k^3

Substitute 7 for V1

V = 7k^3

Divide both sides by 7

k^3 = V/7

Take the cube root of both sides

k = (V/7)^1/3

Next, we test the options

a. (0,0)

k = (0/7)^1/3

k = 0 --- this is true

b. (1,1)

k = (1/7)^1/3

k = 0.05 --- this is false

c. (1,7)

k = (7/7)^1/3

k = 1 --- this is true

d (7, 1)

k = (1/7)^1/3

k = 0.05 --- this is false

e. (14,2)

k = (2/7)^1/3

k = 0.10 --- this is false

f. (49,2)

k = (2/7)^1/3

k = 0.10 --- this is false

g. (56,2)

k = (2/7)^1/3

k = 0.10 --- this is false

h (27,3)

k = (3/7)^1/3

k = 0.14 --- this is false

Hence, the points on the graph are (0,0) and (1,7)

Read more about volumes at:

https://brainly.com/question/12232378

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