How are scales and ratios related?

Answer 1

A scale is always in the form #1 : n#

A ratio compares two or more quantities.

A certain kind of ratio is called a scale.

It makes a comparison between a unit on a scaled model, plan, or map and the real object's size or the actual distance on the map.

A scale is given in the form: #" "1" ":" "n#

On a map, a scale of #" "1:50" "# means

#" "1cm# on the map represents #50cm# on the ground (in reality)

or #" "200mm" "# on a plan to this scale, indicates a length of #200xx50=10,000mm# in reality.

A comparison of two or more identical quantities is called a ratio.

e.g: girls : boys are in the ratio # 4:3# means that:

for every #4# girls there are #3# boys.

If there are #35# children in a class with this ratio, we have:

#4/7 # of the class are girls (which means #4/7 xx35 = 20# girls.)

#3/4# of the class are boys (which means #3/7xx35 = 15# boys.)

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Answer 2

Julia Adams

Scales and ratios are related because they both involve comparing quantities or measurements. A scale is typically a representation of proportion or size, while a ratio expresses the relationship between two quantities by division. In many cases, scales are represented by ratios, such as 1:100 indicating that one unit on the scale represents 100 units in reality.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.