Kylee manages a small theme park and she has been analyzing the attendance data. Kylee finds that the number of visitors increases exponentially as the temperature increases, and this situation is represented by the function f(x) = 4x. Kylee 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 + 5. The graph of the two functions is below. Find the solution to the two functions and explain what the solution represents.

(1,4)

Step-by-step explanation:

The number of visitors to the park as the temperature increases by x units is represented by the function: f(x) = 4x.The number of people who leave the park early depending on the change in temperature is represented by the function: f(x) = −x + 5.The graph of the two functions is plotted and attached below.The solution to the two functions is the intersection of the two lines: (1,4)The point of intersection is the temperature at which the number of people leaving the park is equal to the number of people in the park.The solution, (1,4) means that when temperature is at 1 unit, the number of people(4) leaving and entering the park is equal.