Question

Steve collects oysters for a living and sells them to restaurants. While catching oysters, Steve keeps track of the total weight of his bag of oysters. A graph of the total weight, in ounces, of Steve's bag of oysters, y, with respect to the amount of time that he spends looking for them in minutes, x, is shown below.
What is the average rate of change over the interval [2, 10]?

20 ounces of oysters per minute
8 ounces of oysters per minute
2 ounces of oysters per minute
10 ounces of oysters per minute
5 ounces of oysters per minute

Answer 1

Answer:8 ounces of oysters per minute

Step-by-step explanation:

Answer 2

Answer:

5 ounces of oysters per minute

Step-by-step explanation:

We are given a graph of the total weight, in ounces, of Steve's bag of oysters, y, with respect to the amount of time that he spends looking for them in minutes, x,

Now we are supposed to find the average rate of change over the interval [2, 10]

Formula of Average rate : $\frac{f(x_2)-f(x_1)}{x_2-x_1}$

Now At x = 2 , f(2)= y = 20

At x=10  , f(10)= y = 60

Substitute the values in the formula

Average rate : $\frac{f(10)-f(2)}{10-2}$

Average rate : $\frac{60-20}{10-2}$

Average rate : $\frac{40}{8}$

Average rate : $5$

Thus he average rate of change over the interval [2, 10]  is 5 ounces of oysters per minute