What is the average rate of change of the amount of the element over the 10-minute experiment? *
-0.2 g/min
-2.7 g/min
-2.0 g/min
-5.0 g/min

What is the average rate of change of the amount of the element over the 10minute experiment 02 gmin 27 gmin 20 gmin 50 gmin class=

Respuesta :

Answer:

             -26.78 gallons

a.r.c. = ------------------------- = -2.68 gallons/min

             (10 - 0) minutes

Step-by-step explanation:

The average rate of change over an interval (a, b) is

            change in dependent quantity

a.r.c. = ------------------------------------------------

                               b - a

Here the decrease in the amount of the element (which is a time function) is (3.22 gallons - 30 gallons), or 26.78 gallons, a negative quantity due to the "decrease."  We thus have the desired average rate of change

             -26.78 gallons

a.r.c. = ------------------------- = -2.68 gallons/min

             (10 - 0) minutes

The average rate of change of the amount of the element over the 10-minute experiment is - 2.7 g / min.

The average formula can be represented as follows

average rate = f(b) - f(a) / b - a

Using the 2 points (0, 10)(10, 3.22),

average rate = 3.22 - 30 / 10 - 0

average rate = -26.78 / 10

average rate = -2.678

average rate ≈ - 2.7 g / min

Therefore, the average rate of change of the amount of the element over the 10-minute experiment is - 2.7 g / min.

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