On a number line, a number, b , is located the same distance from 0 as another number, A , but in the opposite direction. The number b varies directly with the number A For example b is equal to 2 and 3 fourths when A is equal to negative 2 and 3 fourths Which equation represents this direct variation between A and b ?
Answer
A
b minus A is equal to 0
B
b is equal to negative A
C
negative b is equal to negative A
D
b times negative A is equal to 0
Explanation
Numbers the same distance from 0 but in opposite directions are opposites, so b = −A. The example confirms this: when A = −2¾, b = 2¾. Therefore, the equation is “b is equal to negative A.”
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