Consider the formula distance = speed*time or d = st. suppose you work 20 miles from your home. how long would it take to get to work if you were able to travel at a speed of 30mph? what about 40mph? 50mph? what do you notice about the relationship between your speed and how long it takes to get to work?

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.

Re-do the question and enter the picture