Question

select the correct answer.

in which table does (y) vary inversely with (x)?

Explanation:

Identify the condition for inverse variation

$$ y = \frac{k}{x} \implies xy = k $$

Calculate the product xy for each table

• Table 1:

$$
LATEXBLOCK0
$$

• Table 2:

$$
LATEXBLOCK1
$$

• Table 3:

$$
LATEXBLOCK2
$$

• Table 4:

$$
LATEXBLOCK3
$$

Determine the correct table

$$ xy = 12 \quad (\text{constant for Table 1}) $$

Answer:

• (A) Table 1: (1, 12), (2, 6), (3, 4) (Correct answer)
• (B) Table 2: (1, -8), (2, 4), (3, 16)
• (C) Table 3: (1, -7), (2, -14), (3, -21)
• (D) Table 4: (1, -7), (2, -15), (3, -22)