Question

quiz: inverse variation
hs: algebra 2b m (sequential) / 4:rational equations

1. choose the type of variation that relates the variables in the table

x	y
7	\\(\frac{1}{7}\\)
3	\\(\frac{1}{3}\\)
\\(\frac{1}{5}\\)	5

options:

• combined variation
• joint variation
• direct variation
• inverse variation

Explanation:

Step1: Calculate product of x and y

For first pair: $7 \times \frac{1}{7} = 1$
Second pair: $3 \times \frac{1}{3} = 1$
Third pair: $\frac{1}{5} \times 5 = 1$

Step2: Determine variation type

Since $xy = 1$ (constant), it's inverse variation.

Answer:

inverse variation