How would the average rate of change over years 1 to 5 and years 6 to 10 be affected if the population increased at a rate of 8%?

(A): As year increases the number of pikas reduces.

(B): As year increases the number of pikas increases as opposed to when the rate reduces.

Step-by-step explanation:

See comment for complete question

Given

--- Initial Population

--- rate

(A) WHEN THE RATE DECREASES

First, we need to write out the function when the population decreases.

This is given as:

Substitute values for a and r

Convert % to decimal

Next, we calculate the average rate of change for both intervals using:

For 1 to 5:

Calculate f(5) and f(1)

For 6 to 10:

Calculate f(6) and f(10)

So, we have:

for year 1 to 5

This means that the number of pikas reduces by 9.36 yearly

for year 6 to 10

This means that the number of pikas reduces by 6.48 yearly

So, we can say that, as year increases the number of pikas reduces.

(B) WHEN THE RATE INCREASES

First, we need to write out the function when the population decreases.

This is given as:

Substitute values for a and r

Convert % to decimal

Next, we calculate the average rate of change for both intervals using:

For 1 to 5:

Calculate f(5) and f(1)

For 6 to 10:

Calculate f(6) and f(10)

So, we have:

for year 1 to 5

This means that the number of pikas increases by 14.04 yearly

for year 6 to 10

This means that the number of pikas increases by 20.59 yearly

So, we can say that, as year increases the number of pikas increases as opposed to when the rate reduces.

answer: 414,377,008

step-by-step explanation:

just multiply it

hi there!

first we need to find out how much they are adding to each number to make the next number.

ex: 4 + 4 = 8, 8 + 8 = 16, and so on.

so continuing with 32,

32 + 32 = 64

64 + 64 = 128

128 + 128 = 256

256 + 256 = 512

4, 8, 16, 32, 64, 128, 256, 512

the 8th term of the sequence will be 512

hope this ! ~