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Secondary
rarr Number
rarr Ratio & Proportion
386d: Determine the formula connecting two
Watch Worked Example
variables which are inversely proportional.
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COMPLETION

50%

p is inversely proportional to
x.
When
p=2,x=4
Find a formula connecting
p and
x.

p=

◻
Submit Answer

Secondary $\rightarrow$ Number $\rightarrow$ Ratio \& Proportion $\newline$ $386$ d: Determine the formula connecting two $\newline$ Watch Worked Example $\newline$ variables which are inversely proportional. $\newline$ Q $1$ $\newline$ Q $2$ $\newline$ Q $3$ $\newline$ Q $4$ $\newline$ Q $5$ $\newline$ Q $6$ $\newline$ Q $7$ $\newline$ Q $8$ $\newline$ Q $9$ $\newline$ Q $10$ $\newline$ Q $11$ $\newline$ Q $12$ $\newline$ Q $13$ $\newline$ Q $14$ $\newline$ Q $15$ $\newline$ Q $16$ $\newline$ Q $17$ $\newline$ Q $18$ $\newline$ Q $19$ $\newline$ Q $20$ $\newline$ COMPLETION $\newline$ $50 \%$ $\newline$ $p$ is inversely proportional to $x$ . $\newline$ When $p=2, x=4$ $\newline$ Find a formula connecting $p$ and $x$ . $\newline$ $p=$ $\newline$ $\square$ $\newline$ Submit Answer

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Write and solve inverse variation equations

Full solution

Q. Secondary

\rightarrow

Number

\rightarrow

Ratio \& Proportion

\newline

386

d: Determine the formula connecting two

\newline

Watch Worked Example

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variables which are inversely proportional.

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COMPLETION

\newline

50 \%

\newline

p

is inversely proportional to

x

.

\newline

When

p=2, x=4

\newline

Find a formula connecting

p

and

x

.

\newline

p=

\newline

\square

\newline

Submit Answer

Understand relationship between p and x: Step $1$ : Understand the relationship between p and x. Since $p$ is inversely proportional to $x$ , the relationship can be expressed as $p = \frac{k}{x}$ where $k$ is a constant.
Use given values to find $k$ : Step $2$ : Use the given values to find $k$ . We know $p = 2$ when $x = 4$ . Substitute these values into the inverse proportionality formula: $2 = \frac{k}{4}$ .
Solve for k: Step $3$ : Solve for k. Multiply both sides of the equation by $4$ to isolate $k$ : $2 \times 4 = k$ . This gives $k = 8$ .
Write formula for $p$ and $x$ : Step $4$ : Write the formula connecting $p$ and $x$ using the value of $k$ . Substitute $k = 8$ back into the formula: $p = \frac{8}{x}$ .

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