The following table shows estimates of deer population in the United States.
A) year-1995. base year-5. estimated number of deer in thousands-838
B) year-1997. base year-7. estimated number of deer in thousands-1012
C) year-1999. base year-9. estimated number of deer in thousands-1223
D) year-2001. base year-11. estimated number of deer in thousands-1427
The deer population in the United States can be predicted by the expression 523(1.099)^t, where t is the number of years since 1990. What does the value 523 represent?
• The predicted number of deer in the United States in 1994.
• The predicted number of deer in the United States in 1990.
• The predicted increase in the number of deer in the United States each year.
• The number of years until the population reaches 2 million.
5 answers
The value 523 represents the predicted number of deer in the United States in 1990. This is because the expression given, 523(1.099)^t, represents the predicted number of deer for each year since 1990. In 1990 (the base year), t=0, so substituting t=0 into the expression gives 523(1.099)^0 = 523.
pick one of my answers
The correct answer is:
• The predicted number of deer in the United States in 1990.
• The predicted number of deer in the United States in 1990.
explain
The value 523 represents the predicted number of deer in the United States in 1990 because in the given expression 523(1.099)^t, when t is 0 (representing the number of years since 1990), the formula simplifies to 523. This indicates that the predicted number of deer in the United States in the base year of 1990, before any exponential growth, is 523.