Question

Two friends are sitting on a seesaw at the park. The height, , of the left seat, in inches above the ground, is modeled by a sine function. Let t represent the time, in seconds, since the friends started seesawing. 0 1 2 3 4 5 6 24 48 24 0 24 48 24 If the friends start seesawing with the plank in a level position, how long does it take for the friend in the left seat to move upward, downward, and then back to the initial position? A. 4 seconds B. 3 seconds C. 2 seconds D. 6 seconds

Answer 1

The friend in the left seat takes 4 seconds to move upward, downward, and then back to the initial position.

Therefore, the correct answer is A. 4 seconds.

Step-by-step explanation:

The height of the left seat on the seesaw can be modeled by a sine function. Let's analyze the given data:

t = 0, height = 0 inches

t = 1, height = 24 inches

t = 2, height = 48 inches

t = 3, height = 24 inches

t = 4, height = 0 inches

t = 5, height = 24 inches

t = 6, height = 48 inches

From the data, we can see that the height of the left seat moves upward, downward, and then back to the initial position in a span of 4 seconds. Therefore, the correct answer is A. 4 seconds.