Final answer:
To find the unit rate, divide the total amount of recyclable materials by the number of volunteers. For example, if 100 kilograms are collected by 5 volunteers, the unit rate is 20 kilograms per volunteer.
Step-by-step explanation:
To find the unit rate from the graph showing the relationship between the amount of recyclable material collected and the number of volunteers, one would need to determine how much recyclable material is collected per volunteer. The unit rate is found by dividing the total amount of recyclable materials by the total number of volunteers if the graph shows a linear relationship.
Suppose the graph indicates that 100 kilograms of recyclable material are collected by 5 volunteers. The unit rate would be calculated as follows: 100 kg/5 volunteers = 20 kg per volunteer. This is the average amount of recyclable material collected by each volunteer, which is the unit rate in this context.
A rate is a ratio that is used for comparing two different kinds of quantities which have different units. On the other hand, the unit rate illustrates how many units of quantity correspond to the single unit of another quantity. We say that when the denominator in rate is 1, it is called unit rate. In fact, unit rate is said to be the amount of something in each unit or per unit. Let us understand this using some examples:
40 miles/2 hours = 20 miles/hour, Unit rate is 20 miles per hour
160 words/4 minutes = 40 words/minutes, Unit rate is 40 minute per minute
The common examples used are:
- Distance per second
- Kilometer per hour
- Meter per second
- Earning per month
Basically gas mileage, speed, acceleration and density etc are the terms that are determined by the calculation of unit rate. Some more examples: Miles per hour, grams per cubic centimetre, words per minute, cost per gram (pound, litre) and miles per gallon.