What is the mode of the following list of numbers: \left\{3,4,4,5,6,7,7,7,8,9\right\}{3,4,4,5,6,7,7,7,8,9}

8

5

7

6

Your answer is 6

1) Solution x = 1, y = 3

2) The solution represent the temperature at which the number of visitor is equal to the number of people who leave early the park.

Explanation:

The very same graph copied by you gives the answer to the first question. The intersection point of the curve f(x) = 3^x and the line g(x) = - x + 4 is the solution  to the two functions.

You can read on the graph the coordinates of the point of intersection, they are x = 1, y = 3, and that is the solution.

You can proove by making substituting the x-coordinate value in both functions:

x = 1 => f(x) = 3^x = 3^1 = 3

x = 1 => g(x) = - x + 4 = - 1 + 4 = 3

Which prooves that the solution is x = 1, y = 3.

That point represent the temperature at which the number of visitors is equal to the number of people who leave the park early.