The gates for a concert opened 1 hour before the concert began. Six minutes

after the gates opened, 1,000 of the seats were filled. Thirty minutes after the

gates opened, 13,200 of the seats were filled.

Which is the average rate of change, rounded to the nearest hundred, in the

number of seats filled from the 6-minute point to the 30-minute point?

The average rate of change will be 508.33. And the number of seats filled from the 6-minute point to the 30-minute point will be 12200.

How to measure the rate of change of something as some other value changes?

Suppose that we have to measure the rate of change of y as x changes, then we have:

[tex]Rate = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]

where we have

Remember that, we divide by the change in the independent variable so that we get some idea of how much the dependent quantity changes as we change the independent quantity by 1 unit.

The gates for a concert opened 1 hour before the concert began.

Six minutes after the gates opened, 1,000 of the seats were filled.

Thirty minutes after the gates opened, 13,200 of the seats were filled.

Then the average rate of change will be

Rate = (13200 - 1000)/(30 - 6)

Rate = 12200/24

Rate = 508.33

The number of seats filled from the 6-minute point to the 30-minute point will be 12200.

Learn more about the rate of change here:

https://brainly.com/question/19167959

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