A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

Find the missing value for x so that the data in the table represents a linear function. x-value y-value 330 130 540 160 750 190 960 ?

  • This Question is Closed
  1. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1438703446359:dw|

  2. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    A linear relation has a constant slope. A constant slope means that for the same change in x there is the same change in y.

  3. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Let's look at what your changes in x and y are for each successive point.

  4. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1438703583686:dw|

  5. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    For the points (330, 130) and (540, 160), a change of 210 in x causes a change of 30 in y. Do you understand this?

  6. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Since we want a linear relation, we have to always have the same change in y for the same change in x.

  7. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Now let's look at the changes in x and y for the next pair points: |dw:1438703982652:dw|

  8. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Sure enough, we again have a change of 210 in x corresponding to a change of 30 in y. Now let's look at our last pair of points: |dw:1438704045752:dw|

  9. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    To be linear, a change of 210 in x must again correspond to a change of 30 in y. What must the last y value be to be sure it has a change of 30 from the previous y value, 190?

  10. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    BTW, shouldn't the question be asking for the missing value of y, instead of x?

  11. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.