Question

f(x) = (1.84)^x

The function f is defined by the given equation. The equation can be rewritten as f(x) = (1 + p/100)^x, where p is a constant. Which of the following is closest to the value of p?

• A. 16
• B. 21
• C. 46
• D. 96

Answer 1

Answer: (D)

96

Answer 2

We need to express 1.84 in the form $1 + \frac{p}{100}.$

• Set $1 + \frac{p}{100} = 1.84.$
• Then $\frac{p}{100} = 0.84 \quad\Rightarrow\quad p = 84.$ Among the options, the value closest to 84 is 96.