Question

which equation represents a proportional relationship that has a constant of proportionality equal to 0.7?

\\(\frac{y}{x} = \frac{7}{10}\\)

\\(\frac{y}{x} = \frac{1}{7}\\)

\\(xy = \frac{7}{10}\\)

\\(xy = \frac{1}{7}\\)

Explanation:

Define proportional relationships

Using the Constant of Proportionality and Proportional Relationship Equation knowledge points

$$
LATEXBLOCK0
$$

Convert decimal to fraction

Using the Constant of Proportionality knowledge point

$$ 0.7 = \frac{7}{10} $$

Substitute constant into equation

Using the Proportional Relationship Equation knowledge point

$$ \frac{y}{x} = \frac{7}{10} $$

Answer:

• (A) \(\frac{y}{x} = \frac{7}{10}\) (Correct answer)
• (B) \(\frac{y}{x} = \frac{1}{7}\)
• (C) \(xy = \frac{7}{10}\)
• (D) \(xy = \frac{1}{7}\)