Question

In the month of October, the population of a species of fish in a river increased by a factor of 1.05 every day. The function below shows the number of fish in the river f(x) after x days:

f(x) = 100(1.05)x

Which of the following is a reasonable domain for the function?

0 ≤ x ≤ 100

0 ≤ x ≤ 31

All positive integers greater than 100

All positive integers less than 100

Answer 1

@NeedHelpQuick546

Answer 2

What is the smallest possible value for f(x)? What is the greatest possible value for f(x)?

Answer 3

@nelsonjedi so b, right?

Answer 4

because 30 x 1.05 is 31.25

Answer 5

x has to be a positive number greater than zero because it begins on the first day of October, Thus if x is greater then 0,,,then f(x) has to be what?

Answer 6

so, yes

Answer 7

It is not b

Answer 8

What if a made x= .001..what would f(x) be?

Answer 9

well it says greater than OR equal to so it could be 0, therefore, it is b

Answer 10

You are looking at x we need to figure f(x)...So if x = .01 then f(x) = 100(1.05)(.01)

Answer 11

..... please, do continue, because now i'm a little confused

Answer 12

Ok x in the function represents the number of days correct.

Answer 13

yea

Answer 14

f(x) represents the number of fish,

Answer 15

The function should be

\[\Large f(x) = 100(1.05)^x\]

and not

\[\Large f(x) = 100(1.05)(x)\]

Answer 16

yes

Answer 17

so, from all of this, i am now thinking its either D or A

Answer 18

We need to determine the domain of f(x).(The number of fish)

Answer 19

Can the number of days ever be 0?

Answer 20

ok

Answer 21

Can it?

Answer 22

yes

Answer 23

How can it be 0?

Answer 24

o days pass

Answer 25

Look at the equation..how many fish do you think are in the lake when we start?

Answer 26

100

Answer 27

Bingo..and is that number going to get bigger or smaller?

Answer 28

...ok i see your point

Answer 29

never 0 because it would make the population 0 in the long run of the equation

Answer 30

that would be true IF the equation were \[\Large f(x) = 100(1.05)(x)\]

but the equation is \[\Large f(x) = 100(1.05)^x\]

Answer 31

@nelsonjedi

Answer 32

oh yea

Answer 33

@jim_thompson5910 so it is A?

Answer 34

hint: it has to do with October

Answer 35

My apologies I did not read the question correctly I was trying to solve the range...my bad.

Answer 36

lol its ok

Answer 37

and yea it was B the entire time lol

Answer 38

:-}