Question 2 • (OC27) MATH COLL ALGEBRA-1200710-S1-Degele-VOL7006P
To win a contest, the number of beans in a jar has to be guessed within 20 of the actual number. If the number of beans in the jar is 645, which equation can be used to find the minimum and maximum number of beans that will win the contest, and what is the maximum guess that could win?
Answer
A
|x – 645| = 20; maximum guess: 635 beans
B
|x – 645| = 20; maximum guess: 665 beans
C
|x – 20| = 645; maximum guess: 635 beans
D
|x – 20| = 645; maximum guess: 665 beans
Explanation
A winning guess must be no more than 20 away from 645, so the boundary guesses satisfy |x − 645| = 20. Solving gives x = 645 − 20 = 625 and x = 645 + 20 = 665. Therefore, the maximum winning guess is 665 beans, which is choice B.
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