Aphrodite1228idn
Answered

Experience the convenience of getting your questions answered at IDNLearn.com. Ask any question and get a detailed, reliable answer from our community of experts.

Which does not show a direct variation between x and y?  
A.y = x/9  B.y = 2x  C.y = 0.5x  D.y = 9/x

If f(x) varies directly with x, and f(x) = 8 when x = 6, write the direct linear variation equation. 
 A. f(x) = 3/4x  B.f(x) = 6x  C.f(x) = 8x  D.f(x) = 4/3x

Find the constant of variation for the relationship f(x)= 30x.  A.10  B.30  C.x  D.f(x)


If f(x) varies directly with x, and f(x) = 56 when x = 8, find the value of f(x) when x = 2  A.4  B.7  C.8  D.14

Sagot :

Kate200468idn
[tex](1)\\direct\ variation\ between\ x\ and\ y:\ \ \ y=k\cdot x\ \ \ and\ \ \ k\in\ R\\\\Ans.\ NOT\ direct\ is\ D\\\\(2)\\f(x) = m\cdot x\ \ \ and\ \ \ f(6)=8\\\\ \Rightarrow\ \ \ m\cdot 6=8\ \ \ \Rightarrow\ \ \ m= \frac{8}{6} = \frac{4}{3} \ \ \ \ \Rightarrow\ \ \ \ Ans.\ D\\\\(3)\\f(x)=30x\ \ \ \Leftrightarrow\ \ \ \frac{f(x)}{x} =30\ \ \ \ \ \ \Rightarrow\ \ \ \ constans=30\ \ \ \ Ans.\ B.[/tex]

[tex]\\\\(4)\\f(x)=m\cdot x\ \ and\ \ f(8)=56\\\\m\cdot8=56\ \ \Leftrightarrow\ \ m= \frac{56}{8} =7\ \ \Rightarrow\ \ \ f(x)=7x\ \ \ \Rightarrow\ \ \ f(2)=7\cdot2=14\\\\Ans.\ D.[/tex]
We value your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. IDNLearn.com provides the best answers to your questions. Thank you for visiting, and come back soon for more helpful information.