Question

Please help!!!!
Which graph depicts linear relationships between the variables graphed?
Graph I
Graph I and IV
Graph II
Graph II and III

Answer 1

@whpalmer4 can you help please?

Answer 2

Kind of small print, but big enough, I guess.

How would you express a linear relationship between two variables x and y in an equation?

Answer 3

Or what characteristics would the graph of a linear relationship show?

Answer 4

I thought it was I and IV

Answer 5

because?

Answer 6

the data points all can be connected with a straight line

Answer 7

okay, if the data points can all be connected with a straight line, what does that imply the formula must look like?

Answer 8

y=mx+b

Answer 9

Any idea what the other graphs' functions might be?

Answer 10

lol

Answer 11

non-linear

Answer 12

okay, true enough :-)

graph II looks like a parabola (y = ax^2+bx+c) or maybe an exponential (y = a^x)

graph III looks like inverse variation: \(y = k/x\)

Answer 13

would you use a polynomial function

Answer 14

would I use a polynomial function for what?

Answer 15

I was askingfor graph III but I see you wrote inverse

Answer 16

thank you

Answer 17

You're welcome. If you look at the physics formulas, you'll see they agree with our assessment. Graph I is F vs. a, and they are related by F = ma. That's clear direct variation, so linear.
Graph II is distance vs. time, and for a constant acceleration, x = (1/2)at^2 which is a parabola.
Graph III is mass vs. acceleration with a constant force. F= ma or a = F/m which is indirect variation
and finally Graph IV is clearly linear again.

Answer 18

thanks Im going to put this in my notes