Please help explain D and its subsections Problem 1:A biologist friend has spent the past 25 monthstracking the populations of two different speciesof fish. Let A(t) and B(t) be the size of each fishpopulation t months after her observations began.While looking through her research journal, youfind the following information:A"(t)10152025A'(10) = A'(20) = 0-5jotted down along with the graph of A"(t) shownto the right.--10(a) When was the rate of change of the fish A population increasing? When was it decreasing?(b) When was the size of the fish A population increasing? When was it decreasing?(c) Which is bigger, the average rate of change in the fish A population between month 0 andmonth 5 or the average rate of change in the population between month 5 and month 10?(d) One of the results of your friend's research is that the size of the two fish populations arerelated. In particular, she notes thatB(t) = 0.5A(t) +t² – 10t –100.Which of the following statements was true about the fish B population at time t = 10:(i) After ten months, the fish B population was growing and the growth was speeding up.(ii) After ten months, the fish B population was growing and the growth was slowing down.(iii) After ten months, the fish B population was declining and the decline was speeding up.(iv) After ten months, the fish B population was declining and the decline was slowing down.

Name: Please help explain D and its subsections Problem 1:A biologist friend
Uploaded: 2024-03-20T06:46:03.000Z
Channel: Bartleby
Description: Please help explain D and its subsections Problem 1:A biologist friend has spent the past 25 monthstracking the populations of two different speciesof fish. Let A(t) and B(t) be the size of each fishpopulation t months after her observations began.Wh

Question

Please help explain D and its subsections Problem 1:A biologist friend has spent the past 25 monthstracking the populations of two different speciesof fish. Let A(t) and B(t) be the size of each fishpopulation t months after her observations began.While looking through her research journal, youfind the following information:A&#34;(t)10152025A'(10) = A'(20) = 0-5jotted down along with the graph of A&#34;(t) shownto the right.--10(a) When was the rate of change of the fish A population increasing? When was it decreasing?(b) When was the size of the fish A population increasing? When was it decreasing?(c) Which is bigger, the average rate of change in the fish A population between month 0 andmonth 5 or the average rate of change in the population between month 5 and month 10?(d) One of the results of your friend's research is that the size of the two fish populations arerelated. In particular, she notes thatB(t) = 0.5A(t) +t² – 10t –100.Which of the following statements was true about the fish B population at time t = 10:(i) After ten months, the fish B population was growing and the growth was speeding up.(ii) After ten months, the fish B population was growing and the growth was slowing down.(iii) After ten months, the fish B population was declining and the decline was speeding up.(iv) After ten months, the fish B population was declining and the decline was slowing down.

Accepted Answer

Solving part D as requested.
Given:
A'10=A'20=0Bt=0.5At+t2-10t-100
The graph of A''(t) is given as: