Explain how each of the following rates satisfies the definition of ratio. given an example of how each is used.
a. 1580 people/square mile
b. 360 kilowatt-hour/4 months
c. 450 people/year
d. 355 calories/6 ounces

Step-by-step explanation:

A ratio is defined as a comparison of two amounts by division.It is of the form of where p and q are the quantities.

A. 1580 people/square mile in division form

1580

This satisfies ratio definition as this compares two quantities People and Square mile and is of the form  

Where,

p: People, q:  Square mile

Example,

expresses that per 1 square mile there are 1580 people. Thus rate satisfies the ratio definition.

B. 360 kilowatt-hour/4 months

in division form

This satisfies ratio definition as this compares two quantities kilowatt-hour and months and is of the form  

where, p: kilowatt-hour and q: people

Example,

expresses that per 4 months there are 360 kilowatt-hour. Thus, rate satisfies the ratio definition.

C. 450 people/year

In division form 450

This satisfies ratio definition as this compares two quantities people and year and is of the form  

where, p: people and q: year

Example,

expresses that per year there are 450 people. Thus, rate satisfies the ratio definition.

D. 355 calories/6 ounces

In division form

This satisfies ratio definition as this compares two quantities calories and ounces and is of the form  

where p: calories and q: ounces

Example,

expresses that per 6 ounces there are 355 calories. Thus, rate satisfies the ratio definition.