Answered

Looking for reliable answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Ask your questions and receive accurate answers from professionals with extensive experience in various fields on our platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

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

:)

Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.