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:
![\begin{gathered} 1ft=12in \\ 1d=24h \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/tg7nnqcz5zth08q0qxhely53rbw1085h2e.png)
Therefore, you get that the rate in feet per day is the following:
![(0.25(in)/(h))((1ft)/(12in))((24h)/(1d))=((0.25in)(1ft)(24h))/((1h)(12in)(1d))=0.5(ft)/(d)](https://img.qammunity.org/2023/formulas/mathematics/college/b2qnhw5egaod8qmt8in5e4pgbe1d9mztsp.png)
Hence, the answer is:
![0.5(ft)/(d)](https://img.qammunity.org/2023/formulas/mathematics/college/er98t03088x1sg5cihuehn9oejnxperze6.png)