Respuesta :

Answer:

y = 2.4

Step-by-step explanation:

Given y varies inversely with x then the equation relating them is

y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation

To find k use the condition y = 8 when x = 3

k = yx = 8 × 3 = 24

y = [tex]\frac{24}{x}[/tex] ← equation of variation

When x = 10, then

y = [tex]\frac{24}{10}[/tex] = 2.4

MrRoyal

The variation is an illustration of inverse variation, and the value of y when x = 10 is 2.4

How to determine the value of y?

The variation is an inverse variation.

An inverse variation is represented as:

k = xy

Rewrite as:

x₁y₁ = x₂y₂

When y = 8, x = 3; we have:

3 * 8 = x₂y₂

This gives

24 = x₂y₂

When x = 10; we have:

24 = 10 * y

Divide both sides by 10

y = 2.4

Hence, the value of y when x = 10 is 2.4

Read more about variation at:

https://brainly.com/question/6974617

#SPJ2

Otras preguntas