Question

a direct variation function includes the ordered pair \\((4, 5)\\). which statement is true?

• the constant of variation \\(k\\) is \\(\frac{4}{5}\\)
• the constant of variation \\(k\\) is \\(\frac{5}{4}\\)
• it is not possible to determine the constant of variation from the information given.

Explanation:

Identify the direct variation formula

Using the Direct Variation knowledge point

$$ y = kx $$

Substitute the given ordered pair

Using the Direct Variation knowledge point

$$
LATEXBLOCK0
$$

Solve for the constant of variation

Using the Direct Variation knowledge point

$$ k = \frac{5}{4} $$

Answer:

• The constant of variation \(k\) is \(\frac{4}{5}\)
• The constant of variation \(k\) is \(\frac{5}{4}\) (Correct answer)
• It is not possible to determine the constant of variation from the information given.