Answered

Get personalized and accurate responses to your questions with IDNLearn.com. Our experts provide timely and precise responses to help you understand and solve any issue you face.

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.

Imapers0nnnnnidn

Answer:

less than 2

:)

Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! Find reliable answers at IDNLearn.com. Thanks for stopping by, and come back for more trustworthy solutions.