Question

this year, 17,884 people attended a basketball teams first game, and 17,150 people attended their second game. what is the percent decrease from the first game to the second game in the number of people who attended? round to the nearest tenth of a percent. enter the correct answer in the box.

Explanation:

Step1: Find the decrease in number of attendees

First, we find the difference between the number of people who attended the first game and the second game. The number of attendees for the first game is \(17,884\) and for the second game is \(17,150\). So the decrease is \(17884 - 17150=734\).

Step2: Calculate the percent decrease

The formula for percent decrease is \(\text{Percent Decrease}=\frac{\text{Decrease}}{\text{Original Amount}}\times 100\%\). Here, the original amount is the number of attendees in the first game (\(17884\)) and the decrease is \(734\). So we calculate \(\frac{734}{17884}\times 100\%\).

First, calculate \(\frac{734}{17884}\approx0.0409\). Then multiply by \(100\%\) to get \(0.0409\times 100\% = 4.09\%\). Rounding to the nearest tenth of a percent, we look at the hundredth place (9), which is greater than or equal to 5, so we round up the tenth place. So \(4.09\%\approx4.1\%\).

Answer:

\(4.1\)