Question

Write the following inverse proportion: y is inversely proportional to x³. When y = 15, x = 23.

Answer 1

If y is inversely proportional to x, and if y = 15 when x = 23 then 15/1 = k/23^3 = 15/1 = k/12167, y ∝ x−1 = 15 ∝ k/12167

How do we express this in inverse proportion?

Given, y is inversely proportional to x

or

y ∝ x−1

this is if and only if y ∝ 1/x

y = 1/xk

Also, we know that if y = 15 when x = 23^3

then 15/1 = k/23^3

⇔

multiply both sides by 23

345 = k this is our constant of proportionality

⇒

this gives us our formula

y = 345/x

Then consider when y = 15

then

15 = 345/x

⇔

multiply both sides by x

15x = 345

⇔

divide both sides by 15

x = 23

Therefore, the correct answer is as given above

learn more about inversely proportion: brainly.com/question/1266676

#SPJ1