Question

the table below shows the number of days, \\(y\\), needed to complete a project as a function of the number of full-time staff, \\(x\\), working on the project. which rational function best models the data in the table?

\

$$\begin{array}{|c|c|} \\hline \\text{people working, } x & \\text{days, } y \\\\ \\hline 36 & 2 \\\\ \\hline 18 & 4 \\\\ \\hline 8 & 9 \\\\ \\hline 6 & 12 \\\\ \\hline \\end{array}$$

\\(y = \frac{x}{72}\\)

\\(y = \frac{x}{18}\\)

\\(y = \frac{18}{x}\\)

\\(y = \frac{72}{x}\\)

Explanation:

Identify the relationship between variables

$$
LATEXBLOCK0
$$

Solve for y

$$ y = \frac{72}{x} $$

Answer:

• (A) \(y = \frac{x}{72}\)
• (B) \(y = \frac{x}{18}\)
• (C) \(y = \frac{18}{x}\)
• (D) \(y = \frac{72}{x}\) (Correct answer)