a hotel currently has 280 rooms. the management company decides to build a new wing that will increase the…

a hotel currently has 280 rooms. the management company decides to build a new wing that will increase the capacity to 405 rooms. by what percentage will this expand the capacity of the hotel? (round to the nearest tenth of a percent.)\na) 30.9%\nb) 44.6%\nc) 69.1%\nd) 125.0%

a hotel currently has 280 rooms. the management company decides to build a new wing that will increase the capacity to 405 rooms. by what percentage will this expand the capacity of the hotel? (round to the nearest tenth of a percent.)\na) 30.9%\nb) 44.6%\nc) 69.1%\nd) 125.0%

Answer

Explanation:

Step1: Find the increase in rooms

$405 - 280=125$

Step2: Calculate the percentage increase

$\text{Percentage increase}=\frac{\text{Increase}}{\text{Original number}}\times100%=\frac{125}{280}\times 100%$ $=\frac{12500}{280}\approx 44.6%$

Answer:

B) 44.6%