Question

the table shows the value of an account \\(x\\) years after the account was opened.

account value over time
\

$$\begin{array}{|c|c|} \\hline \\text{years after opening account} & \\text{account value} \\\\ \\hline 0 & \\$5,000 \\\\ \\hline 2 & \\$5,510 \\\\ \\hline 5 & \\$6,390 \\\\ \\hline 8 & \\$7,390 \\\\ \\hline 10 & \\$8,150 \\\\ \\hline \\end{array}$$

based on the exponential regression model, which is the best estimate of the value of the account 12 years after it was opened?

\\$8,910
\\$8,980
\\$13,660
\\$16,040

Explanation:

Perform exponential regression on the data points

$$
LATEXBLOCK0
$$

Evaluate the regression model at x = 12

$$
LATEXBLOCK1
$$

Match with the closest given option

$$ y(12) \approx \$8,980 $$

Answer:

• (A) $8,910
• (B) $8,980 (Correct answer)
• (C) $13,660
• (D) $16,040