Abortions The number of abortions in the UnitedStates per 1000 women aged 15–44 can be modeledby the function y = -0.026x2 + 0.951x + 18.161,where x is the number of years after 1970 and y ismeasured in thousands.a. In what year does this model indicate the numberwas a maximum?b. What was the maximum number of abortions inthis year if this model is accurate?c. For what values of x can we be sure that this modelno longer applies?
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
Abortions The number of abortions in the United
States per 1000 women aged 15–44 can be modeled
by the function y = -0.026x2 + 0.951x + 18.161,
where x is the number of years after 1970 and y is
measured in thousands.
a. In what year does this model indicate the number
was a maximum?
b. What was the maximum number of abortions in
this year if this model is accurate?
c. For what values of x can we be sure that this model
no longer applies?
Step by step
Solved in 2 steps with 1 images
