Question

I have to use the exponential equation to fill out this graphMonths
(x) Population
P(x)
0
1
2
3
2 minutes agoDelete

1. Describe how to create the exponential function represented by your table. Use complete sentences and arrive at a final exponential function, P(x).
2. Using your exponential function, P(x), explain the meaning behind each of the numbers and variables in terms of the invasive fish species.
3. The current exponential function P(x) measures the fish population’s growth monthly. Using complete sentences explain how to find the rate of growth every week.
4.

Answer 1

Shouldn't there be numbers for the fish population ?

Answer 2

0 1
1 8
2 64
3 512
thats the #s I have

Answer 3

forget the (2 minutes agoDelete)

Answer 4

The formula is
Population = 2^(n*3)

n Population
0 1
1 8
2 64
3 512

Answer 5

yes

Answer 6

Here's a graph

Answer 7

Thanks for the graph but I needed an equation though

Answer 8

The equation is in my first posting

Answer 9

Population = 2^(n*3)

Answer 10

Exponential growth is of the form y = a * b^x
P(x) = a * b^x
when x = 0, P = 1 plug it in:
1 = a * b^0 = a * 1 = a
a = 1
P(x) = b^x
when x = 1, P = 8
8 = b^1 = b
b = 8
P(x) = 8^x is the equation.

Answer 11

same as P(x) = 2^(3x) = 8^x

Answer 12

Well okay ranga
(I just went for the "easy" solution.)

Answer 13

Since they were asking for a description for part 1) I had to go step by step.

Answer 14

Yes, I didn't look at the details too much. I just wanted the numbers.

Answer 15

Well, I guess it's time to move on.

Answer 16

For part 2)
P(x) = 8^x
x is the number of months, P(x) is the population of the fish species.
The base 8 can also be written as (1 + r) in which case r will be the exponential growth rate. Here P(x) = (1 + 7)^x and therefore r, the growth rate, is 7.

Answer 17

Thank you for your help!

Answer 18

you are welcome.