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Which of the following equations best models the data plotted below?

A. y = x + 4
B. y = 4x + 9
C. y = x + 18
D. y = 3x + 22

Which of the following equations best models the data plotted below? A. y = x + 4 B-example-1
User Rivenfall
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1 Answer

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The key with these problems is to find which function has the closest y-intercept to the graph, and then try to figure out which one best approximates the slope.
Here are our options:
A. y = x + 4
B. y = 4x + 9
C. y = x + 18
D. y = 3x + 22

Which has the closest approximation of the y-intercept?
The y-intercept is not directly given, but we can assume it is less than 10.
That leaves us with A and B.

Which has the closest approximation of the slope?
The graph, on average, seems to move up about 60 and over about 15.
Slope = rise/run = 60/15 = 4. Although the slope isn't exactly 4, it's much closer to 4 than 1, which is slope for option A.

Therefore, the answer is
B) y= 4x + 9

User Stephan Du Toit
by
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