The following data show the number of
Chinese citizens who immigrated to the U.S.
Use the data to predict how many Chinese
immigrated to the U.S. during the 1990s.
Decade No. of Chinese Immigrants
1950s 10,000
1960s 35,000
1970s 124,000
1980s 389,00
To predict the number of Chinese immigrants to the U.S. during the 1990s, we can observe the trend in the data from previous decades and make an extrapolation.
First, let's examine the growth rate of Chinese immigrants:
- From the 1950s to the 1960s, the number of Chinese immigrants increased by 35,000 - 10,000 = 25,000.
- From the 1960s to the 1970s, the number of Chinese immigrants increased by 124,000 - 35,000 = 89,000.
- From the 1970s to the 1980s, the number of Chinese immigrants increased by 389,000 - 124,000 = 265,000.
To estimate the growth rate, we can calculate the average increase in Chinese immigrants from each decade:
- Average increase from the 1950s to the 1960s: (35,000 - 10,000) / 1 = 25,000
- Average increase from the 1960s to the 1970s: (124,000 - 35,000) / 1 = 89,000
- Average increase from the 1970s to the 1980s: (389,000 - 124,000) / 1 = 265,000
Now, let's calculate the average growth rate:
- Average growth rate from the 1960s to the 1970s: (89,000 - 25,000) / 25,000 ≈ 2.56
- Average growth rate from the 1970s to the 1980s: (265,000 - 89,000) / 89,000 ≈ 1.98
To project the number of Chinese immigrants to the U.S. during the 1990s, we can assume a similar average growth rate. Let's take the average of the two growth rates calculated above:
- Average growth rate for the 1990s: (2.56 + 1.98) / 2 ≈ 2.27
Finally, we can apply this growth rate to the number of Chinese immigrants in the 1980s to predict the immigration during the 1990s:
Chinese immigrants in the 1980s: 389,000
Predicted Chinese immigrants in the 1990s: 389,000 * 2.27 ≈ 882,030
Therefore, we can predict that approximately 882,030 Chinese immigrants immigrated to the U.S. during the 1990s based on the trend observed in the provided data.