Consider the following conditional statement.
1 answer:
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I worked backwards to solve this question, my explanation and working out is
in the picture. If you need any clarification, just ask in the comments.
in the picture. If you need any clarification, just ask in the comments.
Answer:
(a)
(b) 7.5ft above the low tide.
Step-by-step explanation:
(a) To find the function that computes the height of the tide, you need to select the form of the sinusoidal function. For example, use the form:
Where A is the amplitude, B the frequency, C the phase shift and D the vertical shift.
The amplitude is half the distance between the highest and the lowest tide:
The frequency is related to the period T by:
The period is 12 hours, then
The high tide is at 1:00 a.m. and 1:00 p.m. , this is the moment when , if
then
must be equal to
when
:
The vertical shift is the sum of the lowest value, the height of the low tide () and the amplitude:
The function is:
Because the function must be the height above low tide height, subtract this heigh from the function:
(b) Use x=11 in the function
above the low tide.
Answer:
Step-by-step explanation:
The equation of a line has the following format:
In which m is the slope and b is the y-intercept(value of x when y = 0).
In this question:
Slope 4, which means that .
So
Contains point (1,-8).
This means that when . We replace this into the equation to find b. So
So