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julia-pushkina [17]
3 years ago
9

Which statement best explains whether the table represents a linear or nonlinear function?

Mathematics
1 answer:
Marta_Voda [28]3 years ago
7 0

Answer: A.) It is a linear function because there is a constant rate of change in both the input and output values.

============================================================

Explanation:

Note how x is decreasing by 3 each time

  • -2-3 = -5
  • -5-3 = -8
  • -8-3 = -11

At the same time, y is also decreasing by 3 each time

  • 7-3 = 4
  • 4-3 = 1
  • 1-3 = -2

This means we have a linear function. We have,

slope = (change in y)/(change in x)

slope = (-3)/(-3)

slope = 1

Recall that slope is another term for rate of change, so a constant slope means we have a constant rate of change.

----------------

Another way to find the slope is to pick any two points from the table and use the slope formula

m = (y2 - y1)/(x2 - x1)

You should find that any two points you pick will lead to a slope of 1. I recommend you try out all possible pairs to help convince yourself the slope is 1.

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Answer:

Neither parallel nor perpendicular

Step-by-step explanation:

I'm assuming you meant line k is y = 3x -2. If not, this is wrong.

For this, you need to put both lines in point-slope form, or the form that line k is already in. This means you only need to convert line m.

-2r + 6v = 18

6v = 2r + 18

v = 2/6r + 18/6

v = 1/3r + 3

Now you can answer the question.

To be parallel, lines must have the same slope (but a different y-intercept). 3 and 1/3 are not the same, so the lines are not parallel.

To be perpendicular, one line must have the opposite reciprocal (fraction flipped and + goes to - or - to +) of the other. While 3 is the reciprocal of 1/3, they are both positive, so they are not perpendicular.

To be the same line, the equations must be absolutely identical, which they aren't.

This leaves the last option: neither.

Let me know if you need a more in-depth explanation of anything here! I'm happy to help!

3 0
3 years ago
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y=x-5

Step-by-step explanation:

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Kamila [148]

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If a flight departs from Pittsburgh at 7:55 a.m. and arrives in San Diego at 9:20 a.m.,

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SOLUTION

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