The quadratic equation y = –6x2 + 100x – 180 models the store’s daily profit, y, for selling soccer balls at x dollars. The quadratic equation y = –4x2 + 80x – 150 models the store’s daily profit, y, for selling footballs at x dollars. Use a graphing calculator to find the intersection point(s) of the graphs, and explain what they mean in the context of the problem

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MerGrifin2016 MerGrifin2016

10-11-2016
Mathematics

contestada

The quadratic equation y = –6x2 + 100x – 180 models the store’s daily profit, y, for selling soccer balls at x dollars. The quadratic equation y = –4x2 + 80x – 150 models the store’s daily profit, y, for selling footballs at x dollars. Use a graphing calculator to find the intersection point(s) of the graphs, and explain what they mean in the context of the problem

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wifilethbridge wifilethbridge · Answer 1 · 2019-04-09T09:20:05+02:00

Answer:

Step-by-step explanation:

The quadratic equation [tex]y = -6x^2 + 100x - 180[/tex] models the store’s daily profit, y, for selling soccer balls at x dollars.

The quadratic equation [tex]y = -4x^2 + 80x - 150[/tex] models the store’s daily profit, y, for selling footballs at x dollars.

Now we are supposed to find the intersection point(s) of the graphs using graphing calculator

Refer the attached graph.

[tex]y = -6x^2 + 100x - 180[/tex] -- Green line

[tex]y = -4x^2 + 80x - 150[/tex] -- Purple line

So, from the graph we can see there are two intersection points :

(8.333,236.667)

(2.053,0)

So, from solution (8.333,236.667) we depict that at x = 8.333 dollars the store's daily profit y = 236.667 for selling football or soccer ball.

From solution (2.053,0)we depict that at x = 0 dollars the store's daily profit y = 2.053 for selling football or soccer ball.

alliyahbeasley670 alliyahbeasley670 · Answer 2 · 2022-06-12T04:26:53+02:00

Answer:

see explanation

Step-by-step explanation:

The quadratic equation models the store’s daily profit, y, for selling soccer balls at x dollars.The quadratic equation models the store’s daily profit, y, for selling footballs at x dollars.Now we are supposed to find the intersection point(s) of the graphs using graphing calculatorRefer the attached graph. -- Green line -- Purple line So, from the graph we can see there are two intersection points :(8.333,236.667)(2.053,0)So, from solution (8.333,236.667) we depict that at x = 8.333 dollars the store's daily profit y = 236.667 for selling football or soccer ball.From solution (2.053,0)we depict that at x = 0 dollars the store's daily profit y = 2.053 for selling football or soccer ball.