SAT Mathematics Practice Test 7

Question : 48 of 59

Marks: +1, -0

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 ?

1 to 3
1 to 2
2 to 1
3 to 1

Validate

Solution:

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.

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