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.

1) The solution obtained from the graph is x = 1

2) An increase in temperature of one degree from the base temperature will lead to an equilibrium, where the number of people leaving the park equals the number of people visiting the park

Step-by-step explanation:

The equation of the two functions are;

f(x) = x⁵ and g(x) = -x + 6

The solution that satisfies the two functions is f(x) = g(x), which gives;

5ˣ = -x + 6

We note that, when x = 1, we have;

5¹ = 5 and  -(1) + 6 = 5

Therefore a solution is x = 1

The meaning of the solution is that for a temperature increase of one degree, the number of people visiting the park is equal to the number of people leaving the park.

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step-by-step explanation:

the x's and the y's both go up the same amount each time, therefore it will be a linear function because it will go in a straight line when drawn on a graph.

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darn right!

step-by-step explanation:

steve kerr's sons name is let that skin in.