How will the volume of the pyramid change if each side is multiplied by a factor of One-half?

The volume will be 2 times the original volume.
The volume will be 8 times the original volume.
The volume will be One-fourth times the volume.
The volume will be One-eighth times the volume.

The volume will be One-eighth times the volume.

Step-by-step explanation:

Well the formula for the volume of pyramid is,

,

We can make the base length and width 6 units and the height 6 units too.

= 72

6 * 1/2 = 3

3*3*3

=18

18 / 3 = 6

So now we make a fraction 6/72,

3/36

1/12

1 ÷ 12 = .08333333

Thus,

the volume of the new pyramid is 1/8 times the volume.

Hope this helps :)

part a- option 1 is exponential and increases 130% per year. option 2 increases $300 per year and it's linear.

part b- f(n)=1000+300n option 2

f(n)=1000(1.30)^n option 1

part c- f(20)=1000+300(20)

f(20)=1000+6000

f(20)=7,000 after 20 years for option 1

f(20)=1000(1.30)^20

f(20)=1000(190.04)

f(20)=190,040 after 20 years for option 2

we can see that there would be a significant difference in belinda's investment if she uses option 2 over option 1. there is a huge difference of 190,040 - 7,000 = 183,040 dollars.