Answer:
Step-by-step explanation:
The function that could model this periodic phenomenon will be of the form
The tide varies between 3ft and 9ft, which means its amplitude is
and its midline is
.
Furthermore, since at the tide is at its lowest ( 3 feet ), we know that the trigonometric function we must use is
.
The period of the full cycle is 14 hours, which means
giving us
With all of the values of the variables in place, the function modeling the situation now becomes
Answer: x = 35
Explanation: In this problem, notice that D is being divided by 5,
so to get D by itself, we need to multiply both sides of the equation by 5.
Notice that on the left side, the 5 and 5 cancel
each other out, so we are just left with D.
On the right side, we have (7)(5) which is 35.
So x = 35.
Finally, remember that we can check our answer
by plugging a 35 back into the original equation.
So we have .
Since this is a true statement, we know that our answer is correct, x = 35.
