Question

Shannon manages a small zoo and she has been analyzing the attendance data. Shannon finds that the number of visitors increases exponentially as the temperature increases, and this situation is represented by the function f(x) = 3x. Shannon also finds a linear equation that models the number of people who leave the park early depending on the change in temperature, and it is represented by f(x) = −x + 4. The graph of the two functions is below. Find the solution to the two functions and explain what the solution represents.

Answer 1

any ideas @erinecookie ?

Answer 2

I have no idea. Im so confused

Answer 3

I have no idea. Im so confused

Answer 4

Heres the graph with the question

Answer 5

I just need to find the solutions for F(x)=3^x and f(x)=-x+4 right? I dont know how to do it. But i know thats what i need to do

Answer 6

exponentially is correct,
you have typed your question wrong
its not f(x)=3x
it is f(x)=\(3^x\)

Answer 7

its f(x)=3^x my apologies

Answer 8

ok,
the solution to two functions is the point at which their graphs intersect.
can you identify the point?

Answer 9

(1,3) ?

Answer 10

yes :)

Answer 11

So thats the answer? The solution of both equations is (1,3)?

Answer 12

yes that is the answer

Answer 13

Thank you so much!

Answer 14

any idea what the solution means?

x represents temperature
f(x) represents number of people entering
g(x) represents number of people leaving