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lozanna [386]
3 years ago
6

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 _____.

Mathematics
1 answer:
Bogdan [553]3 years ago
8 0

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

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

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

k=6.

So, from equation (i), we have

Y=kX\\\\\Rightarrow Y=6X~~~~~~~~~~~~~~~~~~~~~~(ii)

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

Y=6X\\\\\Rightarrow 11=6X\\\\\Rightarrow X=\dfrac{11}{6}

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

Option (B) is CORRECT.

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