SOLUTION: In the United States, the birthrate B for unmarried women (births per 1000 unmarried women) whose age is a is modelled by the function B(a) = −0.31x 2 + 16.54x 2 − 151.04

Question 1197304: In the United States, the birthrate B for unmarried women (births per 1000 unmarried
women) whose age is a is modelled by the function
B(a) = −0.31x
2 + 16.54x
2 − 151.04
i. What is the age of unmarried women with the highest birthrate?
ii. What is the highest birthrate of unmarried women?
iii. Evaluate and interpret B(40).
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
given function:
B(a) = −0.31x
2 + 16.54x
2 − 151.04
since this is not quite clear, I assume you have

i. What is the age of unmarried women with the highest birthrate?

if is the birth rate then the value of "" at ' will tell the age of unmarried women of

derivative is:
'
'
set it equal to zero

or, you can find x-coordinate this way:
=>, ,

ii. What is the highest birthrate of unmarried women?
if , then

iii. Evaluate and interpret .

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