Final answer:
Given that (a/b) = 2, by taking the reciprocal we find that (b/a) = 1/2. Multiplying both numerator and denominator by 4, (4b/a) is then equal to 2.
Step-by-step explanation:
The student is asking to evaluate the value of (4b/a) given that (a/b) = 2. First, we need to flip the given ratio to find b/a. Given that a/b is 2, we would have b/a = 1/2 by taking the reciprocal. Now to find 4b/a, we multiply both the numerator and the denominator of b/a by 4. Doing this, we find that 4 * b/a equals 4 * 1/2, which simplifies to 2. Therefore, the value of (4b/a) is 2.