Question

part 1 of 3
suppose that y is inversely proportional to x.
find the constant of proportionality k if y = 5 when x = 8.
k = 40
part 2 of 3
using the k from above write the variation equation in terms of x.
y = \\(\frac{40}{x}\\)
part 3 of 3
using the k from above find y given that x = 40.
y =
if needed, round answer to 3 decimal places.
enter dne for does not exist, oo for infinity
submit question

Explanation:

Step1: Use the variation equation

We use the equation $y = \frac{40}{x}$ from Part 2.

Step2: Substitute x=40 into the equation

Substitute $x=40$ into $y = \frac{40}{x}$:
$y = \frac{40}{40}$

Step3: Calculate the value of y

Simplify the fraction:
$y = 1$

Answer:

$1$