Question

A vine called the mile a-minute weed is known for growing at a very fast rate. It can grow up to 0.25 inches
per hour. How fast in feet per day can the mile-a-minute weed grow up to? Show your work using the correct
conversion factors

Answer 1

Answer:

$\displaystyle =\frac{0.5\text{ ft}}{\text{day}}$

The weed grows at a rate of 0.5 feet per day.

Step-by-step explanation:

The weed grows at a rate of 0.25 inches per hour.

And we want to convert this rate into feet per day.

We have that:

$\displaystyle \frac{0.25\text{ in}}{\text{hr}}$

We knowt that there are 12 inches in one foot.

And since we want to cancel the inches, we can write our conversion factor as ft / 12 in.

We also know that there are 24 hours in one day.

And since we want to cancel the hours, we can write our conversion factor as 24 hr / day.

Hence:

$\displaystyle \frac{0.25\text{ in}}{\text{hr}}\cdot\frac{\text{ft}}{12\text{ in}}\cdot \frac{24\text{ hr}}{\text{day}}$

Multiply and cancel common terms. So:

$\displaystyle =\frac{0.5\text{ ft}}{\text{day}}$

The weed grows at a rate of 0.5 feet per day.