Gil buys 4 books for $16. Then he sells 3 CDs for $27. Write equations for y, Gil’s change in money after buying a book, and for
1 answer:
Given:
Gil buys 4 books for $16. Then he sells 3 CDs for $27.
To find:
The equations for y, Gil’s change in money after buying a book, and for x, his change in money after selling a CD, in standard form.
Slope of each equation.
Solution:
Gil buys 4 books for $16.
4 books = $16
1 book = $4
Let n be the number of book purchased, then change in money after buying n book is
Here, negative sign represents decrease in money. Here, slope of -4 it means the money decreased by $4 after buying each book.
He sells 3 CDs for $27.
3 CDs =$27
1 CDs =$9
Let c be the number of CDs sold, then change in money after selling m CDs is
Here, slope of 9 it means the money increased by $9 after selling each CD.
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The function has a maximum at (1, 3).
_____
You know it is not a minimum because the coefficient of the squared term is negative.
You know the vertex is (1, 3) because you match the pattern to
.. y = a(x -h)^2 +k
which has its vertex at (h, k).
_____
You know it is not a minimum because the coefficient of the squared term is negative.
You know the vertex is (1, 3) because you match the pattern to
.. y = a(x -h)^2 +k
which has its vertex at (h, k).