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
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-> 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
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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