Question

Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the
equation.
If y varies inversely with x, and for y = 1, x = 3, find y when x = 9
a. y(x) - 3x; y(9) - 27
c.
3
; 29.
(9) --
b.
d.
ya
2(x) = 5; (9) - 3
y()-
y(9)
3x
27
Please select the best answer from the choices provided
OA
>
B

Answer 1

Answer:

please see analysis

step by step explanation

$if \: y \: varies \: inversely \: as \: \: as \: x \ \: meanc \\ y = \frac{k}{x} \\ where \: y = 1 \: \: x = 3 \\ 1 = \frac{k}{3} \\ k = 3 \times 1 = 3 \\ equation \: connecting \: x \: and \: y \\ y = \frac{3}{x} \\ finding \: y \: when \: x = 9 \\ y = \frac{3}{9} \\ y = \frac{1}{3}$