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(3)/(8)=(27)/(8)~\textup{inches}.`

And, height of the roses that increases each day is

`h_d=(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 (27)/(8)+(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.