Answered

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Y varies directly with X and has a constant rate of change of 6. When the value of Y is 11, then the value of X could be _____.
equal to zero
less than 2
equal to 6
greater than 11

Sagot :

Answer:  The correct option is (B) less than 2.

Step-by-step explanation:  Given that Y varies directly with X and has a constant rate of change of 6.

We are to find the possible value of X when the value of Y is 11.

Since Y varies directly with X, so we can write

[tex]Y\propto X\\\\\Rightarrow Y=kx~~~~~~~~~~~~~~~(i),~~~~~~~~~\textup{[where 'k' is the constant of variation]}[/tex]

Since the rate of change is constant and is equal to 6, so we must have

[tex]k=6.[/tex]

So, from equation (i), we have

[tex]Y=kX\\\\\Rightarrow Y=6X~~~~~~~~~~~~~~~~~~~~~~(ii)[/tex]

Now, when Y = 11, then from equation (ii), we get

[tex]Y=6X\\\\\Rightarrow 11=6X\\\\\Rightarrow X=\dfrac{11}{6}<\dfrac{12}{6}=2\\\\\\\Rightarrow X<2.[/tex]

Thus, the value of X is less than 2 when Y = 11.

Option (B) is CORRECT.

imapers0nnnnn

Answer:

less than 2

:)

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