Question

A photo booth’s profit as a function of users is represented in the table. The function is quadratic.

Users (thousands) Monthly profit ($ thousands)
0 0
0.4 −4
0.8 0
1 5
2 60
Select from the drop-down menu to correctly complete the sentence.

The vertex represents

Answer 1

The vertex represent the minimum amount of profit

Explanation:

Plot the function to better understand the problem

Let

x ----> the number of users in thousands

y ---> the Monthly profit in thousands

using a graphing tool

see the attached figure

we have a vertical parabola open upward

The vertex represent a minimum

In the context of this problem

The vertex represent the minimum amount of profit

In this problem the vertex is the point (0.4,-4)

0.4 represent -----> 0.4(1,000)=400 users

-4=-4(1,000)=-$4,000 (profit negative)