Math, asked by cera17, 1 year ago

if x varies directly as y the complete the following table​

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Answered by pulakmath007
13

SOLUTION

GIVEN

x varies directly as y

TO DETERMINE

To complete the given table

EVALUATION

Here it is given that x varies directly as y

 \sf{x \propto \: y}

 \implies \sf{x = ky \:  \: .....(1)}

Where k is a non zero constant

Now it is given that x = 8.5 when y = 1.7

 \implies \sf{8.5= k \times 1.7 \:  \: }

 \implies \sf{k  = 5\:  \: }

Hence Equation (1) becomes

 \sf{x = 5y }

Now when y = 2 we have

x = 5 × 2 = 10

Again When x = 12.5 we have

 \sf{12.5= 5 \times y \:  \: }

 \implies \sf{ y  = 2.5\:  \: }

So the complete table is

 \sf{:  \: \:   \: x :  \:  \:  \:  \:  \:  \:  \:  \: 8.5 \:  \:  \:  \:  \: \:  \:  \:  \:   \:  \: 10  \:  \:  \:  \:  \:  \:  \:  \:  \:   \:  \: \: \: 12.5}

 \sf{:  \:   \: \: y :  \:  \:  \:  \:  \:  \:  \:  \: 1.7 \:  \:  \:  \:  \: \:  \:  \:  \:   \:  \:  \: 2  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:    \: \:  \: \: \: 2.5}

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Answered by shardhakuril
5

Answer:

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