Suppose the growth of a population (in thousands) is represented by the expression 32 * 2.1^x where x represents the number of years since 2010. Evaluate the expression for they year 2015. Round to the nearest whole number.
A. 41
B. 1,307
C. 67
D. 622
Is it B or D??
32 * 2.1^5 = 32 * 40.8 = 1307
To evaluate the expression for the year 2015, we need to substitute x = 2015 - 2010 = 5 into the expression 32 * 2.1^x.
32 * 2.1^5 = 32 * 2.1^5 = 32 * (2.1 * 2.1 * 2.1 * 2.1 * 2.1)
Using a calculator, we can simplify this expression to approximately 91.526.
Rounding to the nearest whole number gives us 92.
Therefore, the correct answer is not listed among the options provided.
To evaluate the expression for the year 2015, we need to substitute x with the number of years since 2010. Since 2015 is 5 years after 2010, we substitute x = 5 into the expression:
32 * 2.1^5
To simplify this, first calculate 2.1^5:
2.1^5 ≈ 10.841
Now multiply this result by 32:
32 * 10.841 ≈ 347.072
Rounding this to the nearest whole number gives us 347. Therefore, the correct answer is not among the options provided.