Difference between revisions of "Proportion"
| Line 1: | Line 1: | ||
{{WotWAnnounce|week=Sep 13-19}} | {{WotWAnnounce|week=Sep 13-19}} | ||
| + | Two numbers are said to be in '''proportion''' to each other if some numeric relationship exists between them. There are several types of proportions, each defined by a separate class of function. | ||
| + | |||
| + | ==Direct Proportion== | ||
| + | Direct proportions is a proportion where one is a multiple of the other. Direct proportion between two numbers '''x''' and '''y''' can be expressed as: <br /> | ||
| + | <math>y=kx</math><br /> | ||
| + | where '''k''' is some [[real number]]. <br /> The graph of a direct proportion is always linear. | ||
| + | |||
| + | ==Inverse Proportion== | ||
| + | Inverse proportion is a proportion in which as one number's absolute value increases, the other's decreases in a directly proportional amount. It can be expressed as:<br /> | ||
| + | <math>xy=k</math><br /> | ||
| + | where k is some real number that does not equal zero. <br /> | ||
Revision as of 19:18, 13 September 2007
| This is an AoPSWiki Word of the Week for Sep 13-19 |
Two numbers are said to be in proportion to each other if some numeric relationship exists between them. There are several types of proportions, each defined by a separate class of function.
Direct Proportion
Direct proportions is a proportion where one is a multiple of the other. Direct proportion between two numbers x and y can be expressed as:
where k is some real number.
The graph of a direct proportion is always linear.
Inverse Proportion
Inverse proportion is a proportion in which as one number's absolute value increases, the other's decreases in a directly proportional amount. It can be expressed as:
where k is some real number that does not equal zero.
