## Related questions with answers

Bamboo belongs to the grass family and is one of the fastest growing plants in the world. (a). A bamboo shoot was $500 \mathrm{~cm}$ tall at $10.00$ a.m. and $515 \mathrm{~cm}$ at $3:00$ p.m. Compute the average growth rate of the bamboo shoot in $\mathrm{cm} / \mathrm{hr}$ over the period of time from $10:00$ a.m. to $3:00$ p.m. (b). Based on the Mean Value Theorem, what can you conclude about the instantaneous growth rate of bamboo measured in millimeters per second between $10:00$ a.m. and $3:00$ p.m.?

Solution

Verified(a) Let $h$ be the height of the bamboo plant.

Note the following: At 10:00 A.M., $b=500~\mathrm{cm}$. At 3:00 P.M., $b=515~\mathrm{cm}$.

The change in height of the plant from to 10:00 A.M. to 3:00 P.M., which is $5$ hours, is

$515 - 500 = 15~\mathrm{cm}$

The average growth rate of the bamboo plant is

$\dfrac{15~\mathrm{cm}}{5~\mathrm{hours}} = 3~\frac{\mathrm{cm}}{\mathrm{hr}}$

## Create an account to view solutions

## Create an account to view solutions

## More related questions

1/4

1/7