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 the year 2015. Round to the nearest whole number.
a. 41
b. 1,307
c. 67
d. 622
just evaluate at x=5
in my nead:
2^5=32
32*2.1^5 = about 32^2 about 1307
what do you mean?
thank you bob, you were correct
To evaluate the expression for the year 2015, we need to substitute the value of x into the expression and calculate the result.
Given that x represents the number of years since 2010, we need to find the value of x for the year 2015. To do this, we subtract 2010 from 2015:
2015 - 2010 = 5
Now we substitute x = 5 into the expression:
32 * 2.1^5
To calculate this expression, we need to raise 2.1 to the power of 5. Here's how:
2.1^5 = 2.1 * 2.1 * 2.1 * 2.1 * 2.1
Calculating this, we get:
2.1^5 = 10.823
Now we substitute this value back into the original expression:
32 * 10.823
Calculating this, we get:
346.816
To round this to the nearest whole number, we can use the rounding rule: if the decimal part is 0.5 or greater, round up; if it's less than 0.5, round down.
In this case, the decimal part is less than 0.5, so we round down:
346
Therefore, the expression evaluated for the year 2015 is 346.
None of the provided answer choices matches this result, so there seems to be an error in the options given.