Question

Compare "Unit Rates" with "Ratios" ?

Answer 1

A unit rate is the value of 1 entity
A ratio is the relative proportion of 2 entities

Explanation:

`1`. Unit Rates:

Consider n units of some commodity costs $x

`:. 1` unit of the commodity would cost $`x/n`

We could say that the "unit cost" of the commodity is $`x/n`

NB: The concept of unit rate need not apply to cost but rather any measure of unit volume of the entity.

`2`. Ratios

Consider a ratio `a:b` where `a` and `b` are measures of the same entity.

If we are told that `a:b` as `x:y`

Then `a/b = x/y`

Hence: `ay = bx`

As an example, consider `a:b` as `1:2`

Hence: `2a = b ->` `b` is twice as large as `a`

Hope this helps!