Draw the graph for the data given below- begin array -c- c -No- of days y - axis - 96 - 72 - 48836 - 32 - 18 11- lend array

[ No. of workers(x axis) amp;3 amp;4 amp;6 amp;8 am ...

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Byju's Answer

Standard X

Mathematics

Equation of a Line Perpendicular to a Given Line

Draw the grap...

Question

Draw the graph for the data given below.

$\begin{matrix} N o . o f w o r k e r s (x a x i s) & 3 & 4 & 6 & 8 & 9 & 16 N o . o f d a y s (y a x i s) & 96 & 72 & 48 & 36 & 32 & 18 \end{matrix}$

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Solution

$\begin{matrix} N o . o f w o r k e r s (x a x i s) & 3 & 4 & 6 & 8 & 9 & 16 N o . o f d a y s (y a x i s) & 96 & 72 & 48 & 36 & 32 & 18 \end{matrix}$

From the table, we observe that as x increases y decreases.

This type of variation is called indirect variation

We get y α 1/x or xy = k.

From the table, we find that

3×96 = 4× 72 = 6× 48 = 8× 36 = 288 = k

The resultant graph is a hyperbola.

Scale: x-axis 1 cm = 2.5 units; y-axis 1 cm = 2.5 units

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Draw the graph for the data given below. No. of workers(x axis)34689 16No. of days(y axis)967248363218

Draw the graph for the data given below.

$\begin{matrix} N o . o f w o r k e r s (x a x i s) & 3 & 4 & 6 & 8 & 9 & 16 N o . o f d a y s (y a x i s) & 96 & 72 & 48 & 36 & 32 & 18 \end{matrix}$