Question

select the correct answer.

bartolo is running a race. he determines that if he runs at an average speed of 15 feet/second, he can finish the race in 6 seconds. if he runs at an average speed of 18 feet/second, he can finish the race in 5 seconds.

which equation represents this inverse variation?

\\(y = \frac{90}{x}\\)

\\(y = \frac{x}{90}\\)

\\(y = 96x\\)

\\(y = \frac{96}{x}\\)

Explanation:

Set up the inverse variation equation

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

Calculate the constant of variation

$$
LATEXBLOCK0
$$

Write the final equation

$$ y = \frac{90}{x} $$

Answer:

• (A) \(y = \frac{90}{x}\) (Correct answer)
• (B) \(y = \frac{x}{90}\)
• (C) \(y = 96x\)
• (D) \(y = \frac{90}{x}\) (Note: The fourth option in the image is \(y = \frac{90}{x}\) but with a typo in the image showing \(y = \frac{90}{x}\) or \(y = \frac{96}{x}\). Looking closely, the last option is \(y = \frac{90}{x}\) or \(y = \frac{96}{x}\). The correct mathematical representation is \(y = \frac{90}{x}\).)