Given:

[tex]\[
\frac{70}{r(\text{growth rate})} = \text{Doubling Time}
\][/tex]
[tex]\[ r(\text{growth rate}) = 35\% \][/tex]

Calculate the doubling time.

A. 2 years
B. 200 years
C. 65 years



Answer :

To calculate the doubling time, you can use the Rule of 70, which is a way to estimate the time it takes for a quantity to double at a constant growth rate. The formula is:

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

where [tex]\( r \)[/tex] is the growth rate expressed as a percentage.

Given that the growth rate [tex]\( r \)[/tex] is 35%, you need to first convert this percentage into a decimal, which is done by dividing by 100:

[tex]\[ r = 35\% = \frac{35}{100} = 0.35 \][/tex]

Now, substitute [tex]\( r \)[/tex] into the doubling time formula:

[tex]\[ \text{Doubling Time} = \frac{70}{0.35} \][/tex]

Perform the division:

[tex]\[ \text{Doubling Time} = 200 \][/tex]

Therefore, the doubling time is 200 years. The correct answer is:

[tex]\[ 200 \text{ years} \][/tex]