Solving Problems: Rates of Change and Value Adjustments in Math

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In summary, the conversation revolved around finding the rate of change and how it would affect the value of a variable in a given problem. The first problem involved finding the rate of change from x=1 to x=2, which was determined to be -2, and from x=2 to x=3, which was -2/3. The second problem involved finding the change in value of s when d was either doubled or divided by 3, which was determined to be multiplied by 2 and divided by 1/9, respectively. The conversation ended with a discussion about usernames and how the person knows the expert summarizer likes their help.
  • #1
GLprincess02
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There are two more problems I am unsure of, so if someone could just check my answers, I'd be grateful.

Problem:
Suppose y=4/x.
a) Find the rate of change from x=1 to x=2
b) Find the rate of change from x=2 to x=3
c) Why are a and b not equal?

Answers:
a) -2
b) -2/3
c) It is a hyperbola

Problem:
Suppose [tex]s=16d^2[/tex]
a) How does the value of s change if d is doubled?
b) How does the value of s change if d is divided by 3?

Answers:
a) s is multiplied by 2
b) s is divided by 3
 
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  • #2
Problem 1 is correct
Problem 2 is incorrect. just look at d = 1. Since it is a squared term it would be multiplied by 4. And if it is divided by 3 S is (1/3)^2 = 1/9 S.
 
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  • #3
Oh ok, I disregarded the square part. And you would still divide by 1/9 in part b, right? So the answer would be "s is divided by 1/9?"
 
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  • #4
For your answer in (b) it would be divided by 9. Again this is because we have a squared term. If [tex] s = 16d [/tex] then it would be divided by 3 because of the linear term. And s would also be multiplied by 2 if we had the linear term.
 
  • #5
no S would be divided by 9
 
  • #6
Sorry, I hadn't read your second post before I edited mine.
And I get it it now. Thank you for your help!
 
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  • #7
Cool! But I'm confused...how do you know I like it?
 
  • #8
Lol ok that makes sense! I use pretty much the same username for every site I'm on. Is courtigrad your name on youtube, too?
 

FAQ: Solving Problems: Rates of Change and Value Adjustments in Math

How can I check my answers?

There are several ways to check your answers. You can use an online calculator, ask a friend or teacher for help, or use a textbook or study guide to verify your answers.

What should I do if I don't understand how to check my answers?

If you are having trouble checking your answers, it may be helpful to review the steps you took to solve the problem. You can also try looking for similar examples in your textbook or online, or asking a teacher or classmate for assistance.

Why is it important to check my answers?

Checking your answers is an important step in the problem-solving process. It helps you identify any mistakes you may have made and allows you to correct them before they become a bigger issue. It also helps you understand the concept better and improves your overall understanding of the subject.

Can I use a calculator to check my answers?

Yes, you can use a calculator to check your answers. However, it is important to understand how to solve the problem manually as well, as relying solely on a calculator may hinder your understanding of the concept.

What should I do if my answers are incorrect?

If your answers are incorrect, it is important to review the steps you took to solve the problem and try again. You can also seek help from a teacher or classmate to understand where you went wrong and how to correct your mistakes.

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