find the constant variation (k), if y varies inversely as x and y=27​

Sagot :

Answer:

y=k/x

substitute the x, y values into the inverse equation

1/5=k/35

cross multiply

5k=35 divide by 5

k=7

substitute 7 for k in the original inverse equation

y=7/x as a function of x y=f(x)=7/x

or x=7/y for the original equation as a function of y x=f(y)=7/y

you could graph this as a standard hyperbola rotated 45 degrees xy=7, with 2 branches of the hyperbola in the 1st and 3rd quadrant, vertices at (71/2, 71/2) and (-71/2, -71/2) centered at the origin, symmetric over the origin, with x and y axes as the asymptotes.

Step-by-step explanation:

hope to help