Question

what is the equation of the exponential function represented by this table?

\

$$\begin{array}{|c|c|} \\hline x & y \\\\ \\hline 0 & 400 \\\\ \\hline 1 & 1700 \\\\ \\hline 2 & 7225 \\\\ \\hline 3 & 30,706.25 \\\\ \\hline \\end{array}$$

• \\(y = 400(4.25)^x\\)
• \\(y = 400\left(\frac{4}{17}\

ight)^x\\)

• \\(y = 1700\left(\frac{4}{17}\

ight)^x\\)

• \\(y = 400(18.0625)^x\\)

Explanation:

Identify the initial value

$$
LATEXBLOCK0
$$

Determine the growth factor

$$
LATEXBLOCK1
$$

Formulate the exponential equation

$$ y = 400(4.25)^x $$

Answer:

• (A) \(y = 400(4.25)^x\) (Correct answer)
• (B) \(y = 400(\frac{4}{17})^x\)
• (C) \(y = 1700(\frac{4}{17})^x\)
• (D) \(y = 400(18.0625)^x\)