1997 AHSME Problems/Problem 17
Problem
A line intersects the graph of and the graph of . The distance between the points of intersection is . Given that , where and are integers, what is ?
Solution
Since the line is vertical, we are only concerned with vertical distance.
In other words, we want to find the value of for which the distance
Since is a strictly increasing function, we have:
The desired quantity is , and the answer is .
See also
1997 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 16 |
Followed by Problem 18 | |
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