anonymous
  • anonymous
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 ?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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mathstudent55
  • mathstudent55
|dw:1438703446359:dw|
mathstudent55
  • mathstudent55
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.
mathstudent55
  • mathstudent55
Let's look at what your changes in x and y are for each successive point.

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mathstudent55
  • mathstudent55
|dw:1438703583686:dw|
mathstudent55
  • mathstudent55
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?
mathstudent55
  • mathstudent55
Since we want a linear relation, we have to always have the same change in y for the same change in x.
mathstudent55
  • mathstudent55
Now let's look at the changes in x and y for the next pair points: |dw:1438703982652:dw|
mathstudent55
  • mathstudent55
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|
mathstudent55
  • mathstudent55
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?
mathstudent55
  • mathstudent55
BTW, shouldn't the question be asking for the missing value of y, instead of x?

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