Question

unit posttest

the number of hours it takes travis to reach his vacation destination varies inversely with the speed, in miles per hour, he drives. this relationship is represented by the following graph.

which of the following equations represents the number of hours it takes for travis to reach his destination when driving at a speed of \\(x\\) miles per hour?

\\(y = 70x\\)
\\(y = 50x\\)
\\(y = \frac{25}{14x}\\)
\\(y = \frac{350}{x}\\)

Explanation:

Identify the relationship and general equation form

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

Determine the constant of variation from the graph

$$
LATEXBLOCK0
$$

Formulate the final equation

$$ y = \frac{350}{x} $$

Answer:

• \(y = 70x\)
• \(y = 50x\)
• \(y = \frac{25}{14x}\)
• \(y = \frac{350}{x}\) (Correct answer)