Relationship between solution and corresponding graph

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Evangeline101
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Homework Statement


Graph of profit P in thousands of dollars against advertising x in thousands of dollars, a downward-opening parabola crossing the x-axis near 20 and near 100, peaking near 10000 at about x = 55.


Homework Equations


none

The Attempt at a Solution



Here is my answer for part A of this question:
Handwritten-style algebra solving P = -5x^2 + 550x - 5000 by factoring into (-5x + 500)(x - 10), setting each factor to zero to get x = 100 or x = 10000 thousand dollars.


Part B:
This is where I am having trouble.

I took a guess at this, but it is probably completely wrong:

The corresponding graph shows the profit when different amounts are spent. The x-intercepts show the amount spent when the profit is $0.

I get this is most likely wrong, so can someone please explain to me the relationship between the graph and my solution? or at least lead me in the right direction to forming an answer.

Thanks.
 
Evangeline101 said:

Homework Statement


View attachment 101170

Homework Equations


none

The Attempt at a Solution



Here is my answer for part A of this question:
View attachment 101171

Part B:
This is where I am having trouble.

I took a guess at this, but it is probably completely wrong:

The corresponding graph shows the profit when different amounts are spent. The x-intercepts show the amount spent when the profit is $0.

I get this is most likely wrong, so can someone please explain to me the relationship between the graph and my solution? or at least lead me in the right direction to forming an answer.

Thanks.

Why would you think it is wrong? It looks 100% correct to me.
 
Ray Vickson said:
Why would you think it is wrong? It looks 100% correct to me.

Okay, I just took a guess for part b, and wrote the first thing I saw when I looked at the graph, I didn't think it was correct :/

Anyway, thanks for verifying my answer :biggrin: