Question

Compare the rates of change of the following items.

A.
The rate of change of item I is equal to the rate of change of item II.

B.
The rate of change of item I is greater than the rate of change of item II.

C.
The rate of change of item II is greater than the rate of change of item I.

Answer 1

If the radius of a sphere is doubled, then the ratio of the volume of the original sphere to that of the new one is:

`1 : 8`

Answer 2

Option C

Explanation:

Simply put the change or rate is also the slope

So for I the slope is 0.2 or 1/5

For II we can use the formula for slope (diff of y/diff of x)

so (2-6)/(0-2) which is -4/-2 which is 2

Since 2 is greater than 0.2, the change of rate of item II is greater than the change of item I (option c)