Question

Shannon is managing a small zoo and has been analyzing the attendance data. Shannon has found that the number of visitors increases exponentially as the temperature increases. Shannon has also found a linear equation that models the number of people who leave the park early depending on the temperature. Describe how Shannon can combine these two functions into a new function and explain what that function would predict.

Answer 1

@nincompoop

Answer 2

@zepdrix @Hero

Answer 3

@campbell_st

Answer 4

@amistre64

Answer 5

I really do need you guys help Im confused

Answer 6

Please and thank you

Answer 7

@Data_LG2

Answer 8

@AriPotta @adrynicoleb @sleepyhead314

Answer 9

@King.Void.

Answer 10

@triciaal

Answer 11

@zepdrix are you going to help me?

Answer 12

Hmm this is all the information they give us? :d
we have to come up with the exponential and linear function ourselves?

Answer 13

Yeah this is all that it gives me and yes we do

Answer 14

So at some temperature, \(\Large\rm T\), we have some number of visitor entering the park, maybe we'll call it \(\Large\rm V(T)\), and some number of people leaving early, maybe we'll call that \(\Large\rm f(T)\).

V is total number of visitors,
f is the people who leave early,

so what is V-f?
Do you understand what this represents?

Answer 15

would it be f(v)?

Answer 16

no no you're thinking about this too hard.
V is total number of visitors.
f is the number of people leaving early.

So:
`total` - `people who leave early` = ?

Answer 17

I'm not looking for a mathy response, just what group of people does that represent.

Answer 18

f(t) ?

Answer 19

whut? 0_o
again, why are you giving me a function... im asking for an explanation.
this represents a group of people

Answer 20

ok i'll just say it then :P

if we take the total number of visitors,
and subtract from that, people who leave early,

what we're left with...
is people who stayed the entire day, yes?

Answer 21

ohh ok

Answer 22

So that's what our new function would predict,
the number of visitors that stayed at the zoo the entire day given a specific temerature.

Answer 23

temperature*

Answer 24

Describe how she could combine these functions.. hmm
I guess we could throw some letters in there if they want...
i dunno how specific they want us to be.

Answer 25

Like we could say for our visitor function something like,
visitors as a function of temerature is equal to some exponential\[\Large\rm V(T)=Ar^T\]

Answer 26

It's a strangely worded question :\ it's hard to say what they want exactly

Answer 27

I know right. I just want to keep this simple. but what also confuses me is that they want me to "Describe how Shannon can combine these two functions into a new function"

Answer 28

people leaving early is a linear function of temperature,
maybe we write it like this:
\[\Large\rm f(T)=cT\]

Then the people who stay at the part the entire day would be given by:\[\Large\rm V(T)-f(T)=Ar^T-cT\]

Answer 29

Well there's some information at least :)
You can use as much or little of it as* you want.

The sentence explaining that this* group is the group of people who stay the entire day at the zoo is really the most important thing though.