Question

Long stem roses, typically found in flower shops and given out on special occasions, can grow up to 5 feet in length over the course of a year. How fast would the long stem rose bush grow in inches per day? Show your work using the correct conversion factors. Enter your answer in decimal form rounded to two decimal places.

Answer 1

We were given the following details:

Length of rose (l) = 5 feet

Duration (t) = 1 year

To calculate how fast the rose grows per day, we will follow the steps enumerated below:

I. Convert the length from feet to inches, we have:

`\begin{gathered} 1ft=12in \\ 5ft=x \\ x\cdot1=5\cdot12 \\ x=60 \\ \\ \therefore5ft=60in \end{gathered}`

II. Convert the duration from year to days, we have:

`1year=365days`

III. Calculate the growth rate by finding the quotient of length & duration, we have:

`\begin{gathered} r=(60in)/(365days) \\ r=0.1644\approx0.16 \\ r=0.16in\text{/}days \\ \\ \therefore r=0.16in\text{/}days \end{gathered}`

Therefore, the rose grows at a speed of 0.16 inches per day