Question

The depth of water at a dock can be modeled as y 4 sin (7x) + 7. At low

tide the water is 3 feet deep. What is the depth of water at high tide (its
maximum point)?
A. 10 feet
B. 11 feet
C. 7 feet
O D. 14 feet

Answer 1

The depth of water at high tide is 11 feet.

Step-by-step explanation:

To find the height of the water at high tide, we need to find the maximum value of the function y = 4 sin (7x) + 7. The maximum value of a sine function is 1, so the maximum height of the water at high tide is 4(1) + 7 = 11 feet. Therefore, the depth of water at high tide is 11 feet.