To determine what must be true given that the Dow Jones had a rate of change of 1.7%, let's analyze each statement individually:
1. The Nasdaq increased.
- The Dow Jones Industrial Average (DJIA) and the Nasdaq are separate stock indices that track different sets of companies. While a positive change in the DJIA might indicate positive market sentiment, it doesn't necessarily imply that the Nasdaq also increased on the same day. Therefore, this statement is not necessairly true.
2. The average of the 30 stocks in the Dow Jones increased.
- The DJIA is calculated based on the average price of a selected group of 30 large, publicly-owned companies in the United States. If the Dow Jones had a rate of change of 1.7%, this means that the average price of these 30 stocks collectively increased by 1.7%. Therefore, this statement must be true.
3. Every stock in the Dow Jones increased.
- While the overall Dow Jones increased by 1.7%, this does not mean that every individual stock in the index increased. It's possible for some stocks to have decreased while others increased enough to offset those losses and result in an overall positive change for the index. Therefore, this statement is not necessarily true.
4. The S&P 500 increased.
- The S&P 500 is another stock market index that tracks the performance of 500 large companies listed on stock exchanges in the United States. Similar to the Nasdaq, the performance of the DJIA does not directly imply the performance of the S&P 500. Therefore, this statement is not necessarily true.
Thus, the only statement that must be true given that the Dow Jones had a rate of change of 1.7% is:
The average of the 30 stocks in the Dow Jones increased.
