In a modle of a ship. …
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Sia ? 6 years, 5 months ago
Let the length of the model ship be x m and the height of the mast be y cm.
We form a table as shown below :
Length of the
ship (in metres)
28
x
Height of the
mast (in metres)
12
9
More the length of the ship, more would be the length of its mast. Hence, this is a case of direct proportion. That is,
{tex}\frac{{{x_1}}}{{{y_1}}} = \frac{{{x_2}}}{{{y_2}}}{/tex}
{tex}\therefore{/tex} {tex}\frac{{28}}{{12}} = \frac{x}{9}{/tex}
{tex}\therefore{/tex} 12x = 28 × 9
{tex}x = \frac{{12 \times 9}}{{12}}{/tex}
{tex}\therefore{/tex} x = 21
Hence, the length of the model ship is 21 m.
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