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 g(x) = −x + 6. The graph of the two functions is below. Find the solution to the two functions and explain what the solution represents. Graph increasing exponentially from the left crosses the y axis at one and goes to infinity and intersects a linear graph that decreases and crosses the y axis at six and the x axis at six.
Courtesy of Texas Instruments