Question

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

Answer 1

Answer:

Step-by-step explanation:

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

A. 1580 people/square mile in division form

1580$\frac{people}{\text{square mile}}$

This satisfies ratio definition as this compares two quantities People and Square mile and is of the form   $\frac{p}{q}$

Where,

p: People, q:  Square mile

Example,

$\frac{1580\times people}{1\times squaremile}$

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 $\frac{\text{360 kilowatt-hour}}{\text{4months}}$

This satisfies ratio definition as this compares two quantities kilowatt-hour and months and is of the form   $\frac{p}{q}$

where, p: kilowatt-hour and q: people

Example,

$\frac{\360\times kilowatt-hour}{4\times months}$

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

C. 450 people/year

In division form 450$\frac{people}{year}$

This satisfies ratio definition as this compares two quantities people and year and is of the form   $\frac{p}{q}$

where, p: people and q: year

Example,

$\frac{450\times people}{1\times\text{year}}$

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

D. 355 calories/6 ounces

In division form $\frac{355clories}{6ounces}$

This satisfies ratio definition as this compares two quantities calories and ounces and is of the form   $\frac{p}{q}$

where p: calories and q: ounces

Example,

$\frac{355\times calories}{6\times\text{ounces}}$

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