Question

the height of the average wave, in feet, over t hours, at windy beach is modeled by function h, shown on this graph. the waves at which beach take a longer period of time to complete one full wave cycle? a. sandy beach b. windy beach c. at both beaches it takes the same amount of time to go through one full wave cycle. d. this cannot be determined from the given information.

Explanation:

Step1: Identify period from graph

The period of the function $h(t)$ for Windy - Beach is the horizontal distance between two consecutive peaks or troughs. From the graph of $h(t)$ for Windy Beach, the period is $8$ hours (for example, from $t = - 2$ to $t = 6$). But there is no information given about the period of waves at Sandy Beach.

Answer:

D. This cannot be determined from the given information.