Fans at a concert were packed shoulder to shoulder in a rectangular shaped arena. the area of the arena was 16,200 m2. if each person on average took up a circular space with a diameter of 0.9 m, what is the best estimate for the number of people at the concert? a) 10,000 b) 15,000 c) 20,000 d) 25,000

Step-by-step explanation:

The best estimation of the total number of people at the concert is the quotient between the total area of the arena, and the area that each person occupies.

So, we need to find the area of each person.

We know that each person took up a circular space with a diameter of 0.9m. The radio would be

And the circular are would be

Now, we divide the area of the arena by the area per person

Where represents the number of people at the concert.

Therefore, the nearest estimation is D. 25,000 people are at the concert.

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204