Question

Shannon is managing a small zoo and has been analyzing the attendance data. Shannon has found that the number of sleeping animals 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 number of sleeping animals. Describe how Shannon can combine these two functions into a new function and explain what that function would predict.
@wolf1728

Answer 1

Geez that gives you no numbers to work with.

Answer 2

:P

Answer 3

yeah i know

Answer 4

Well we can think up something.
Above 80° 1 animal asleep
Above 85° 2 animals asleep
Above 90° 4 animals asleep
Above 95° 8 animals asleep
Hmm there's a pattern developing.
sleeping animals = 2^ (Air Temp - Temp 80° F)
Air temp 80° - then
2^(80-80) = 2^0 = 1

Answer 5

ok then

Answer 6

?

Answer 7

@wolf1728 what happened

Answer 8

For the linear equation, we could say for every sleeping animal, 2 people leave the park early.
2 animals asleep, 4 people leave,
3 animals asleep 6 people leave, etc.

I'm working on the linear equation.

Answer 9

People leaving the park early = 2 * ((Air Temp -75°) / 5)

Answer 10

So thats it?

Answer 11

No - the remaining thing to do is :
"Describe how Shannon can combine these two functions into a new function and explain what that function would predict."

Answer 12

Thank You

Answer 13

Do you think you could do that?

Answer 14

yes

Answer 15

Good - well I think I will leave Open Study for a while - see you woohoo.