Question

PLEASE HELP FOR BRAINLIEST!!
Write a function rule for the data in the table. Determine if it's a direct variation, inverse variation or neither. Last, determine the value of x if y=10.

Answer 1

Answer: $\bold{y=\dfrac{24}{x}}$ ; indirect variation ; x = 2.4

Step-by-step explanation:

direct variation is when: $\dfrac{y}{x}=k$   ; where k is the constant rate

indirect variation is when: xy = k  ; where k is the constant rate

In the table provide: x * y = 24 for each coordinate provided, so this is indirect variation, with equation: $y = \dfrac{24}{x}$

since k = 24, then input y = 10 and k = 24 into the equation above:

$10 = \dfrac{24}{x}$

$10x = 24$

$x = \dfrac{24}{10}$

x = 2.4