Question

Kylee manages a small theme park and she has been analyzing the attendance data. Kylee finds that the number of visitors exponentially as the tempature increases, and this situation is represented by the function f(x) = 4 ^ x Kylee also finds a linear equation that no deals the number of people who leave the park early depending on the change in temperature , and it is represented by f(x) = - x + 5. The graph of the two functions is below. Find the solution to the two functions and explain what the solution represents.

Answer 1

(1 , 4)

Explanation:

f(x) = 4^x ,where x is the temperature, and y or f(x) is the number of visitors that come to the park

f(x) = -x +5 , where x is the temperature and, y or f(x) is the number of visitors that leave early

the solution of the system of equations is the point of intersection of the 2 graphs and is (1,4)

when the temperature is 1 will have 4 visitors who will come at the park and also leave early