You know the following information given in the exercise:
- The vine is called the mile-a-minute weed.
- It can grow up to 0.25 inches per hour.
Then, you need to make the conversion from inches per hour to feet per day. Remember that:
[tex]\begin{gathered} 1ft=12in \\ 1d=24h \end{gathered}[/tex]Therefore, you get that the rate in feet per day is the following:
[tex](0.25\frac{in}{h})(\frac{1ft}{12in})(\frac{24h}{1d})=\frac{(0.25in)(1ft)(24h)}{(1h)(12in)(1d)}=0.5\frac{ft}{d}[/tex]Hence, the answer is:
[tex]0.5\frac{ft}{d}[/tex]