If y varies directly as x, and y is 400 when x is randy is r when x is 4, what is the numeric constant of variation in this rela

Question

3 years ago

8

tion?
10
40
100

1 answer:

juin [17] · Answer 1 · 2022-03-31T12:48:24+03:00

The numeric constant of variation is 100

Step-by-step explanation:

Direct proportion means that increase in one variable cause increase in other variable

Here,

It is given that

y varies directly as x

y∝x

when the proportionality symbol is removed a proportionality constant is introduced

$y = kx$

Given that

y = 100 when x = 4

Putting the values

$400 = k * 4\\k = \frac{400}{4}\\k = 100$

The numeric constant of variation is 100

Keywords: Proportion variation

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