Find the average rate of change illustrated in the graph.
-A faucet is used to add water to a large bottle that already contained some water. After it has been filling for 5 seconds, the gauge on the bottle indicates that it contains 14 ounces of water. After it has been filling for 13 seconds, the gauge indicates the bottle contains 30 ounces of water. Find and interpret the average rate of change in the volume of water per second.
A) 4 ounces per second; the average rate of change in the volume of water is 4 ounces per second.
B) 17 ounces per second; the average rate of change in the volume of water is 17 ounces per second.
C) 2 ounces per second; the average rate of change in the volume of water is 2 ounces per second.
D) $\frac { 1 } { 2 }$ ounce per second; the average rate of change in the volume of water is $\frac { 1 } { 2 }$ ounce per second.

Question

Quizplus · Accepted Answer

The average rate of change is calculated by dividing the change in volume by the change in time. Here, the volume changes from 14 ounces to 30 ounces, a change of 16 ounces, over a period from 5 seconds to 13 seconds, a change of 8 seconds. Thus, the average rate of change is $ \frac{16 \text{ ounces}}{8 \text{ seconds}} = 2 \text{ ounces per second} $.

Find the Average Rate of Change Illustrated in the Graph 12\frac { 1 } { 2 }21​

Find the Average Rate of Change Illustrated in the Graph $\frac { 1 } { 2 }$