Question

select the correct answer.

the expression \\(f(x) = 12(1.035)^x\\) models the monthly growth of membership in the new drama club at a school. according to the function, what is the monthly growth rate?

• 0.35%
• 1.035%
• 3.5%
• 12%

Explanation:

Identify the growth factor

$$ b = 1.035 $$

Calculate the growth rate

$$ r = b - 1 = 1.035 - 1 = 0.035 $$

Convert to percentage

$$ r \times 100\% = 0.035 \times 100\% = 3.5\% $$

Answer:

• 0.35%
• 1.035%
• 3.5% (Correct answer)
• 12%