In the first equation in the system of equations, y represents the money collected from selling sweatshirts. In the second equation, y represents the money spent to produce x sweatshirts with team logos on them for a professional sports league. What does the solution of the system represent in this context? y is equal to 35 x y is equal to negative 0 point 0 5 times open paren x minus 400 close paren squared plus 9 comma 492
Answer
A
the number of sweatshirts for which the difference between cost and income is greatest
B
the number of sweatshirts that generate the maximum income
C
the number of sweatshirts that generate the minimum cost
D
the number of sweatshirts for which cost and income are equal
Explanation
A solution to a system is a pair of values that makes both equations true. Here, both equations give a value for y: one is the money collected from sales, and the other is the production cost. At the solution, those amounts are equal, so it represents the number of sweatshirts for which cost and income are equal.
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