Question

Within the exponential phase of growth, if the initial surface area and growth rate of leaf is
${10mm}^2$ and $0.015m{m}^2$ hour respectively,the area of the leaf after 4 days would range from

• A. $10$ to $12m{m}^2$
• B. $20$ to $24m{m}^2$
• C. $30$ to $36m{m}^2$
• D. $40$ to $48m{m}^2$

Answer 1

The correct option is A $10$ to $12m{m}^2$

Growth rate =0.015mm^2 per hour.

The number of hours in 4 days=96 hours.

Hence, total growth in the area after 4 days will be=0.015*96==1.44mm^2

Therefore, the area of the leaf after 4 days=(10+1.44)mm^2=11.44mm^2

So, the correct answer is '10 to 12mm^2'.