Steve manages a skate park and he has been analyzing the attendance data. steve finds that the number of visitors increases exponentially as the temperature increases, and this situation is represented by the function f(x) = 5x. steve 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 + 6. the graph of the two functions is below. find the solution to the two functions and explain what the solution represents.

Steve finds that the number of visitors increases exponentially as the temperature increases, and this situation is represented by the function:

f(x) =5^x.

Steve 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 + 6.

We have to find the solution to the two functions i.e. we have to find the point of intersection of the two graphs.

after plotting the graph we observe that the point of intersection is:

(1,5).

Hence, the solution is: (1,5).

This means, 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.

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