Relationship between solution and corresponding graph

In summary, the conversation discusses a homework problem involving a graph showing profit when different amounts are spent. The question asks for an explanation of the relationship between the graph and the solution provided. The solution given states that the x-intercepts on the graph show the amount spent when the profit is $0. The person asking for clarification initially doubts their solution, but it is confirmed by the person responding.
  • #1

Homework Statement


upload_2016-5-23_21-42-46.png


Homework Equations


none

The Attempt at a Solution



Here is my answer for part A of this question:
upload_2016-5-23_21-48-58.png


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.
 
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  • #2
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.
 
  • #3
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:
 

Question 1: What is the relationship between a solution and its corresponding graph?

The relationship between a solution and its corresponding graph is that the solution represents the values of the variables in an equation, while the graph visually represents those values. In other words, the solution provides a numerical solution to an equation, while the corresponding graph shows the relationship between those values.

Question 2: How do you find the corresponding graph for a given solution?

To find the corresponding graph for a given solution, you first need to identify the variables in the equation. Then, you can plot the solution values on a graph, with the x-axis representing one variable and the y-axis representing the other. The points plotted will create a visual representation of the solution.

Question 3: Can a solution have more than one corresponding graph?

Yes, a solution can have more than one corresponding graph. This is because the same solution values can be represented by different equations or functions. For example, the solution (2, 4) can correspond to the graphs of y = x^2 and y = 2x, as both equations result in the solution of (2, 4).

Question 4: What is the importance of understanding the relationship between a solution and its corresponding graph?

Understanding the relationship between a solution and its corresponding graph is crucial in many fields of science, such as physics, chemistry, and engineering. It allows us to visualize and analyze the relationships between variables and their values, and to make predictions and draw conclusions about the behavior of a system.

Question 5: How can a graph be used to verify a solution?

A graph can be used to verify a solution by plotting the solution values on the graph and checking if they lie on the graph. If the plotted points fall on the graph, then the solution is correct. Additionally, a graph can also be used to check for any extraneous solutions, which may occur when solving equations with multiple variables.

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