Define what is meant by the term ratio. Compare and contrast rates, proportions,

Anonym 2021-09-06 Answered
Define what is meant by the term ratio. Compare and contrast rates, proportions, and percentages. Give an example of each one

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insonsipthinye
Answered 2021-09-07 Author has 18486 answers
A ratio is a relationship between two numbers indicating how many times the first number contains the second.
For example, if a bowl of fruit contains eight oranges and six lemons, then the ratio of oranges to lemons is eight to six (that is, \(\displaystyle{8}\div{6}\), which is equivalent to the ratio \(\displaystyle{4}\div{3}\)).
Rate means the change in one variable with respect to change in other variable. For example speed is rate of change of distance with change in time.
A proportion is a statement that explains that ratios are equal, e.g. \(\displaystyle{1}\div{2}={3}\div{6}\)
Percentage is a measure of a portion in relation to a whole, often expressed in relation to how many of something there are per 100. When a group has half girls and half boys, this is an example of a situation where the percentage of boys in the group is equal to 50 percent.
A ratio compares two quantities of the same unit, e.g. if the ratio of my supply of apples to your supply of apples is \(\displaystyle{1}\div{2}\), it means that for every 1 apple | have, you have 2. Ratios can also be expressed as fractions, e.g. \(\displaystyle{1}\div{2}\) is \(\displaystyle{\frac{{{1}}}{{{2}}}}\).
A rate compares two quantities of different units, e.g. mph or km/h. \(\displaystyle{m}{i}{d}{f}{m}{i}{d}\) travel at a speed of 65 mph, it means for every 1 hour, | have traveled 65 miles and for every 65 miles | travel, | have spent 1 hour.
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