Question

the table shows the estimated number of lines of code written by computer programmers per hour when \\(x\\) people are working.

productivity
\

$$\begin{tabular}{|c|c|} \\hline people working & lines of code written hourly \\\\ \\hline 2 & 50 \\\\ \\hline 4 & 110 \\\\ \\hline 6 & 160 \\\\ \\hline 8 & 210 \\\\ \\hline 10 & 270 \\\\ \\hline 12 & 320 \\\\ \\hline \\end{tabular}$$

which model best represents the data?

• \\(y = 26.9x - 1.3\\)
• \\(y = 27x - 4\\)
• \\(y = 47(1.191)^x\\)
• \\(y = 34(1.204)^x\\)

Explanation:

Analyze the rate of change in the data

$$
LATEXBLOCK0
$$

Determine the linear model equation

$$
LATEXBLOCK1
$$

Verify the model against data points

$$
LATEXBLOCK2
$$

Answer:

• (A) \(y = 26.9x - 1.3\)
• (B) \(y = 27x - 4\) (Correct answer)
• (C) \(y = 47(1.191)^x\)
• (D) \(y = 34(1.204)^x\)