[tex]\[
\begin{array}{c}
\frac{70}{r \text{ (growth rate) }} = \text{Doubling Time} \\
r \text{ (growth rate) } = 4\%
\end{array}
\][/tex]

Calculate the doubling time.

A. 175 years
B. 17.5 years
C. 1.75 years



Answer :

To calculate the doubling time with a given growth rate, we use the Rule of 70. The formula for the Rule of 70 is:

[tex]\[ \text{Doubling Time} = \frac{70}{r} \][/tex]

where [tex]\( r \)[/tex] is the growth rate in percentage.

In this problem, the growth rate [tex]\( r \)[/tex] is given as 4%. Plug this value into the formula:

[tex]\[ \text{Doubling Time} = \frac{70}{4} \][/tex]

Now, perform the division:

[tex]\[ \frac{70}{4} = 17.5 \][/tex]

Thus, the doubling time, when the growth rate is 4%, is [tex]\( 17.5 \)[/tex] years, making the correct answer:

[tex]\[ \boxed{17.5 \text{ years}} \][/tex]