Find the Percent change. Indicate whether it is an increase or a decrease. Round to the nearest percent. SOLVE AND SHOW WORK

31. The university added 20,500 new seats to the existing stadium's 45,000 seats.

There are a couple of ways to approach this problem, but one common method is to use the formula for percent change:

percent change = (new value - old value) / old value * 100%

In this case, the old value is 45,000 and the new value is 45,000 + 20,500 = 65,500. So we have:

percent change = (65500 - 45000) / 45000 * 100%
percent change = 45.56%

To round to the nearest percent, we look at the tenths digit (5) and round up since the hundredths digit (6) is greater than or equal to 5. Therefore, the percent change is 46%. Since the new value is greater than the old value, we know that this is an increase. So we can say:

The university increased the stadium's seating capacity by 46%.