Question

danielle wants to know how fast her rose garden will grow. Right now, her roses are 3 3/8 inches tall. If her roses grow 5/8 of an inch per day, how many days will it be for her roses to be no less than 24 inches tall?

Answer 1

Answer:  The answer is minimum 33 days.

 

Step-by-step explanation:  Given that Daniel has a beautiful rose garden and she wants to know how fast her rose garden will grow. Also given that

Height of her roses at present is given by

$h_p=3\dfrac{3}{8}=\dfrac{27}{8}~\textup{inches}.$

And, height of the roses that increases each day is

$h_d=\dfrac{5}{8}~\textup{inches}.$

We need to find the number of days in which her roses will be a height of minimum 24 inches.

Let, 'x' be the number of days taken by the roses to be minimum 24 inches tall.

So, we have

$h_p+h_dx\geq 24\\\\\Rightarrow \dfrac{27}{8}+\dfrac{5}{8}x\geq 24\\\\\Rightarrow 27+5x\geq 192\\\\\Rightarrow 5x\geq 165\\\\\Rightarrow x\geq 33.$

Thus, the roses will take minimum of 33 gays attain a height of no less than 24 inches.