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In the xy‑plane above, a point (not show...


In the xy‑plane above, a point (not shown) with coordinates (s, t) lies on the graph of the linear function f. If s and t are positive integers, what is the ratio of t to s ?

A

1 to 3

B

1 to 2

C

2 to 1

D

3 to 1

Text Solution

Verified by Experts

The correct Answer is:
C
The line shown has a slope of `(6-0)/(3-0)=2` and a y-intercept of (0, 0), therefore, the equation of the line is y = 2x. This means that for each point on the line, the value of the y-coordinate is twice the value of the x-coordinate. Therefore, for the point (s, t), the ratio of t to s is 2 to 1. Choice A is incorrect and would be the ratio of t to s if the slope of the line were `1/3` . Choice B is incorrect and would be the ratio of t to s if the slope of the line were `1/2` . Choice D is incorrect and would be the ratio of t to s if the slope of the line were 3.
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