Question

Did i get this right
Approximately how many geese are there in Pond A in 9 years?

Answer 1

A.Approximately 310 geese
B.Approximately 129 geese
C.Approximately 214 geese
D.Approximately 100 geese

@Michele_Laino I chose D

Answer 2

I think that we have to write the function wich models the relation year- pondA

Answer 3

idk how to even begin with that

Answer 4

in other words, we have to determine the values of these two constants A, B:
\[\Large y = A \cdot {e^{Bx}}\]
where y is the number of geese, and x represents the number of years

Answer 5

let's consider the first point \((0,25)\), then I replace x=0, and y=25 into my formula:
\[\Large 25 = A \cdot {e^{B \cdot 0}} = A \cdot 1\]
what is A?

Answer 6

1?

Answer 7

correct!
now I consider the second point \((1,30)\), so x=1, and y=30:
\[\Large 30 = A \cdot {e^{B \cdot 1}} = A \cdot {e^B} = 25 \cdot {e^B}\]
what is \[\Large {e^B}\]

Answer 8

idk 25^b

Answer 9

hint:
if I divide both sides by 25, we can write this:
\[\Large {e^B} = \frac{{30}}{{25}} = ...?\]

Answer 10

1.2

Answer 11

great!
So, the equation which model the relation year-pondA, is:
\[\Large y = 25 \cdot {\left( {1.2} \right)^x}\]

Answer 12

now, please substitute x=9, what is y?

Answer 13

hint:
\[\huge y = 25 \cdot {\left( {1.2} \right)^9} = ...?\]

Answer 14

128.994509

Answer 15

correct! So, what is the right option?

Answer 16

129 wow ur good

Answer 17

yes! That's right! :)

Answer 18

it is option B