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.

Question

anonymous · Answer

attachment

anonymous · Answer

@KyanTheDoodle @just_one_last_goodbye @mathmath333 @Elsa213 @Agl202 @YanaSidlinskiy

kyanthedoodle · Answer

I have no idea how this works.

anonymous · Answer

Crud

anonymous · Answer

@Qwertty123 @samanthagreer @haleyelizabeth2017 @narissa @Keigh2015

keigh2015 · Answer

Algebra?

anonymous · Answer

Algebra 2

keigh2015 · Answer

Hmm, I don't know, but I can give it a shot.

anonymous · Answer

Awesome. Thank you.

narissa · Answer

Temperature is plotted on the x-axis and the number of visitors to the park and the number of visitors who leave the park early is plotted on the y-axis. 

Solve 5^x = -x+6 
5^x + x - 6 = 0 

x=1 is a solution by inspection. 
when x=1, y=5 
when the temperature change is 1 degree, the number of people who leave the park early and the number of people who visit the park are equal.

anonymous · Answer

Yes, but I need a step-by-step way to solve it.

keigh2015 · Answer

Couldn't have said it better myself @narissa

anonymous · Answer

5^x + x - 6 = 0 is not solvable.