Question

Use an example to describe how rate is measure of one quantity per unit of another quantity

Answer 1

suppose, we are given

speed of a car is 25 miles per hour

we know that

one quantity is distance (which is in miles)

other quantity is time (which is in hour)

we can also write speed as

`speed=(distance)/(time)`

so, speed is rate of change of distance with respect to time

so, the rate of change of distance with respect to time is 25 miles per hour

Answer 2

we know that

A rate is a ratio in which the two terms are in different units. Rates are used by people every day, such as when they work 48 hours a week or earn interest every year at a bank. When rates are expressed as a quantity of 1, such as 10 feet per second or 20 miles per hour, they are called unit rates

Example

Lucia worked 40 hours in 5 days

the rate is equal to

`(40)/(5)(hours)/(days)`

the unit rate is equal to

`(8)/(1)(hours)/(day)`