Question

Help

Answer 1

@Michele_Laino

Answer 2

50-20 right because I'm guessing that 50 is pod a and 20 is pod b. 50-20=30 for part(a)

Answer 3

first question
from table I see population of Pod B= 20
whereas population of Pod A is greater than 50 and less than 100, we have to use a proportion

Answer 4

ok, 50/100 wait like 0/50 and 100/0

Answer 5

for example, using a ruler you have to measure both distances \(b\) and \(d\), then you have to apply this proportion:
\(100:d=x:b\)
and solve for \(x\)

Answer 6

d is 8,100 and b is 0,80

Answer 7

is it \(d=8.1\;cm\)?

Answer 8

please write both distances with the corresponding unit of measure

Answer 9

b=2

Answer 10

@freemap wait, wait, hi... nice to meet you, btw, how you got 0/50 ?

Answer 11

well i thought that pod a for month 0 was 50

Answer 12

we have \(b=2\;cm\), and \(d=...?\)

Answer 13

8

Answer 14

it is impossible, from your drawing I think that \(d=2.5\) cm

Answer 15

how?

Answer 16

please I consider the proportion, namely I don't think that
\[\frac{d}{b} = \frac{8}{2} = 4\]

Answer 17

I'm referring to this drawing:

Answer 18

thats how I got be equal 2 because off 100/80. D is 8, 100 . Okay but you says d is 2.25 ok

Answer 19

ok! So we have:
\[x = \frac{{200}}{{2.25}} = ...?\]

Answer 20

88.88 remainder

Answer 21

ok! so we can write that population of Pod A is \(90\), I have rounded such value

Answer 22

ok

Answer 23

at the end of fourth month, what is the population of Pod B?

Answer 24

469

Answer 25

sorry, I think that, in order to answer to the third question, better is we make the graph of population of Pod B over the graph of population of Pod A

Answer 26

I thought we were still of part a

Answer 27

yes! of course we have to compute the subsequent difference: \(90-20=...?\)

Answer 28

70

Answer 29

that's right!

Answer 30

now, please I make the graph of population B, over the graph of population A, so, wait plaese

Answer 31

ok

Answer 32

here is it my graph:

Answer 33

so, we can say that at the end of the third month, the population of Pod B is greater than population of Pod A

Answer 34

ok, I see I looked at your graph

Answer 35

now, we have to answer to part B

Answer 36

do you know how is defined the growth rate?

Answer 37

(b) Find and compare the growth rates of each pod. Show your work.
Do we just subtract the points from pod a and b?

Answer 38

no, we have to apply this definition:
\[\huge r = \frac{{{V_{final}} - {V_{initial}}}}{{{V_{initial}}}} \times 100\]
both of growth rates have to be evaluated inside the same time interval, which is \(9\) months

Answer 39

for example the growth rate for Pod B is:
\[\huge r = \frac{{24145 - 20}}{{20}} \times 100 = ...?\]

Answer 40

r=119.75*100=11975

Answer 41

I got \(r=120,625\;\%\)

Answer 42

am I right?

Answer 43

yes

Answer 44

I have to restart my computer, somethings going on. It should take about 7 min. Please stay

Answer 45

now, using a ruler, please measure this distance, directly on your graph:

Answer 46

namely, the length of the orange bar

Answer 47

I'm back It didn't take that long, hopefully everythings fine now

Answer 48

no problem :)
did you get such distance?

Answer 49

it looks like 9,620

Answer 50

is it \(9.62\) cm?

Answer 51

yes

Answer 52

I think it is a too little value, nevertheless,from the graph, we see that the population at the end of the ninth month, is about 625, so the corresponding growth rate, is:
\[\huge {r_A} = \frac{{625 - 90}}{{90}} \times 100 = ...?\]

Answer 53

594.44 remainder

Answer 54

ok! It is \(594.44\;\%\)
whereas the growth rate of Pod B, is:
\[{r_B} = \frac{{24145 - 20}}{{20}} \times 100 = 120,625\% \]
now, is the growth rata A less or greater than the growth rate B?

Answer 55

greater a doesnt have a decimal but a comma meaning thousands

Answer 56

that's right! \(r_B>r_A\)

Answer 57

Thank you

Answer 58

:)

Answer 59

part C would be 4 right