Answer:
![C_(3.5h)=3780 \ cups\\\\C_(5.25hr)=5670\ cups\\\\C_(8.75hr)=9450\ cups](https://img.qammunity.org/2021/formulas/mathematics/middle-school/phskt3kywhewgxrvikhbgfitue677nkav4.png)
Explanation:
The rate of production is 540 per 0.5hr=>1080 per hour.
Let t be the number of hours. We convert the times in hours only(1 hr=60mins)
- 3hrs 30 mins=3.5hrs
- 5hrs 15mins=5.25hrs
- 8grs 45 mins=8.75hrs
#We therefore multiply directly to find the number of cups after t hours:
![C_(3.5h)=1080* 3.5\\\\=3780 \ cups\\\\C_(5.25hr)=1080*5.25\\\\=5670\ cups\\\\C_(8.75hr)=1080* 8.75\\\\=9450\ cups](https://img.qammunity.org/2021/formulas/mathematics/middle-school/x1luulxaok506b43x88xj0d9j6lns5tdkx.png)