Answer : 4.5 × 10⁴ square inches can be washed per hour.
Step-by-step explanation :
As we are given that an area can be washed at a rate of 4,900 cm²/min. Now we have to determine the square inches can be washed per hour.
Given conversions are:
1 cm = 0.39 in and 1 hr = 60 min
As, 1 cm² = (0.39)² in² and 1 min = 1/60 hr
So, ![1cm^2/min=(0.39)^2\times 60in^2/hr](https://tex.z-dn.net/?f=1cm%5E2%2Fmin%3D%280.39%29%5E2%5Ctimes%2060in%5E2%2Fhr)
![1cm^2/min=9.126in^2/hr](https://tex.z-dn.net/?f=1cm%5E2%2Fmin%3D9.126in%5E2%2Fhr)
Now we have to determine the square inches can be washed per hour.
As, ![1cm^2/min=9.126in^2/hr](https://tex.z-dn.net/?f=1cm%5E2%2Fmin%3D9.126in%5E2%2Fhr)
So, ![4900cm^2/min=\frac{4900cm^2/min}{1cm^2/min}\times 9.126in^2/hr=44717.4in^2/hr=4.5\times 10^4in^2/hr](https://tex.z-dn.net/?f=4900cm%5E2%2Fmin%3D%5Cfrac%7B4900cm%5E2%2Fmin%7D%7B1cm%5E2%2Fmin%7D%5Ctimes%209.126in%5E2%2Fhr%3D44717.4in%5E2%2Fhr%3D4.5%5Ctimes%2010%5E4in%5E2%2Fhr)
Therefore, 4.5 × 10⁴ square inches can be washed per hour.