1-3-101
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The function P of Y equal .02 five y ^2 -, 2.016 Y plus
259.060 represents the population P, and millions of
people in 2005 that were Y years of age or older identified the
dependent and independent variable.
Well, the dependent variable or the variable that depends upon
the other has got to be the P of Y because that's the outcome.
The independent variable has got to be the Y, so the P of Y
represents the outcome, IE that's the dependent variable.
Whatever's in this parenthesis here is the input or the
independent variable.
So the dependent variables P and the independent variables Y,
input, output, domain, and range.
So the Y was the input or the domain, and the output or the
outcome is the P of Y.
That whole thing together.
This represents a single number, the whole thing, and that's the
range.
So it asks us to evaluate P of 10.
Literally, we're just going to stick in 10 every time we see
our Y .02510 ^2 - 2.016 * 10 plus 259.060, compute it, we get
241.4.
Now it says what is the value of P of 10 or what does it
represent?
So when we go back here and we read P is the number of people
in 2005 that were Y years of age or older.
So if Y is 10, this is how many people who were 10 years of age
or older in 2005 S 10 years of age or older in 2005.
Part C wants us to figure out what P of 0 is.
Literally, we're just going to stick 0IN now for that Y value.
So .0250 ^2 -, 2.016 * 0 plus 259 point O6O.
So our answer is just going to be this 259 O six O.
And then when it says what is this representing?
So the value of P of 0 is equal to the number of people in
millions.
So it wants to know what it means.
Well, if there's zero years of age or older, it means that
that's how many people were actually alive in 2005.
S in 2005 is our final answer.