If x and y vary directly, and x = 12 when y = 3, what will be the value of x when y = 9? 36 27 4.5

100

The value of x when y = 9 is 36

Solution:

Given that, x and y vary directly,  

And x = 12 when y = 3,  

We have to find what will be the value of x when y = 9

Now from the given information,

x = cy ---- eqn 1

where "c" is the proportionality constant

Now, substitute x = 12 and y = 3 in (1)

12 = c(4)  

c = 3

Then, (1) ⇒ x = 4y

So, when y = 9 ⇒ x = 4(9) ⇒ x = 36

Hence, x value is 36 when y value is 9, so 1st option is correct

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explanation:

chemists are often responsible for designing a chemical reaction and analyzing the products obtained from it. one significant part of designing a chemical reaction is determining the amount of each reactant that is needed and the amount of each product that will be produced. in order to do so, chemists use stoichiometry, the quantitative relationships between reactants and products.