Acompany blends fruit juices in whole-gallon batches. in one batch, the ratio of the gallons of juice a to the gallons of juice b is 0.525. find the least number of gallons possible for this batch

Change .525 to 525/1000. simplify the fraction, your simple ratio is 21/40, the answer is 61 gallons

Period is the time it takes for one “cycle” to complete. in the parent sine function, period is 2*pi since sin(0) = 0, sin(pi/2) = 1, sin(pi) = 0, sin(3pi/2) = -1, and sin(2pi) = 0. at that point, the sequence repeats itself. i’m not sure if your graph is similar to the sine function since you didn’t provide a picture, but you can find the period by looking at a graph.