Which equation best represents the data indicated? (graph in comments)
A. w = 15c - 75
B. w = 15c - (8/3)
C. w = (3/2)c - 75
D. w = (1/14)c - 3
E. w = -10c +170

Question

SupertardMC · Answer

I have attached the graph:

mhanifa · Answer

You need approximate coordinates of the two points to work out the formula.
I suggest points (40, 1) and (140, 8)

mhanifa · Answer

Can you find the slope?

mhanifa · Answer

Use slope formula:
$$m = \frac{ y_2-y_1 }{ x_2-x_1 }$$

mhanifa · Answer

Are you there?

SupertardMC · Answer

Yes, and I figured it out. It's C. w = (3/2)c - 75
Thanks for helping @mhanifa

mhanifa · Answer

Are you sure C is correct option?

SupertardMC · Answer

Yes. A and B, when graphed, are almost the same (both almost completely vertical) and D and E go in the wrong direction when graphed. C very close

SupertardMC · Answer

To anyone looking at this in the future: Answer C was incorrect.

mhanifa · Answer

The slope is:
$$m = \frac{ 8-1 }{ 140-40 } = \frac{ 7 }{ 100 } \approx \frac{ 1 }{ 14}$$

mhanifa · Answer

It was leading to option D without even finding the y-intercept.

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