Question

what is the formula of inversely proportion

Answer 1

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Inverse proportion
If one value is inversely proportional to another then it is written using the proportionality symbol \propto in a different way. Inverse proportion occurs when one value increases and the other decreases. For example, more workers on a job would reduce the time to complete the task. They are inversely proportional.

The statement ‘b is inversely proportional to m’ is written:

b \propto \frac{1}{m}

Equations involving inverse proportions can be used to calculate other values.

Using: g = \frac{36}{w} (so g is inversely proportional to w).

If g = 8 then find w.

8 = \frac{36}{w}

w = \frac{36}{8} = 4.5

Similarly, if w = 6, find g.

g = \frac{36}{6}

g = 6

Inverse proportion - Higher
Proportionality can be used to set up an equation.

There are four steps to do this:

write the proportional relationship
convert to an equation using a constant of proportionality
use given information to find the constant of proportionality
substitute the constant of proportionality into the equation
Example
If g is inversely proportional to w and when g = 4, w = 9, then form an equation relating g to w.

g \propto \frac{1}{w}
g = k \times \frac{1}{w} = \frac{k}{w}
4 = \frac{k}{9} so k = 4 \times 9 = 36
g = \frac{36}{w}
This equation can be used to calculate new values of g and w.

If g = 8 then find w.

8 = \frac{36}{w}

w = \frac{36}{8} = 4.5

Similarly, if w = 6, find g.

g = \frac{36}{6}

g = 6

Answer 2

Answer:

$\frac{x1}{x2} = \frac{y1}{y2}$