reticentrobbie
reticentrobbie reticentrobbie
  • 21-12-2020
  • Mathematics
contestada

In the table below, y varies inversely as x. What is the missing value?

In the table below y varies inversely as x What is the missing value class=

Respuesta :

robbiedj
robbiedj robbiedj
  • 21-12-2020

Answer:

The value of y is 0.5, so the answer is C.

Step-by-step explanation:

Find first the constant of variation.

Given: x = 3, y = 4

Find: k = ?

Formula:

[tex]y = \frac{k}{x} [/tex]

Solution:

[tex]y = \frac{k}{x} \\ 4 = \frac{k}{3} \\ 12 = k[/tex]

Then, find the value of y in the third box.

Given: x = 24, k = 12

Find: y = ?

Formula:

[tex]y = \frac{k}{x} [/tex]

Solution:

[tex]y = \frac{k}{x} \\ y = \frac{12}{24} \\ y = \frac{1}{2} \\\boxed{y = 0.5}[/tex]

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