math

posted by .

The table shows the depth (d metres) of water in a harbour at certain times (t hours) after midnight on a particular day.

Time t (hours) Depth d (m)
0 3.0
1 3.3
2 4.2
3 5.6
4 7.2
5 8.2
6 9.0
7 8.9
8 8.1
9 7.3
10 5.6
11 4.3
12 3.5
13 3.1

Use the regression facilities on your calculator to fit a sine curve to these data. Choose the one option which provides the best fit model (with coefficient rounded to 2 significant figures).
A) t=3.0sin(0.49d-1.6)+6.0
B) d=3.0+6.0sin(0.49t-1.6)
C) t=2.9sin(0.48d-1.5)+6.0
D) d=3.0sin(0.49t-1.6)+6.0
E) d=2.99sin(0.49t-1.60)+6.04
F) d=6.0-3.0sin(0.49t+1.6)

Can anyone help me please. I may be d??



This is not a fair question for this forum.
In order to help you, I would have to have the same programmable graphing calculator as you do, and would have to be familiar with the procedure to use that particular function.

I do not.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Trigonometric Functions

    The average depth of the water in a port on a tidal river is 4m. At low tide, the depth of the water is 2m. One cycle is completed approximately every 12h. a)Find an equation of the depth, d(t)metres, with respect to the average depth, …
  2. Maths

    The average depth of the water in a port on a tidal river is 4 m. At low tide, the depth of the water is 2 m. One cycle is completed approx every 12 h. a) find an equation of the depth d(t) metres, with respect to the average depth, …
  3. math

    The depth of water(d metres) in a harbour is given by the formula d = a+bsin(ct) where a, b and c are constants, and t is the time in hours after midnight. It is known that both b and c are non-zero and 20<c<35. If t=midnight, …
  4. 9th grade math

    The depth of water(d metres) in a harbour is given by the formula d = a+bsin(ct) where a, b and c are constants, and t is the time in hours after midnight. It is known that both b and c are non-zero and 20<c<35. If t=midnight, …
  5. periodic functions(math)

    A vessel is crossing a channel. The depth of the water(measured in metres) varies with time and is represented by the following equation: d(t)=2.5sin(0.523t)+2.9 a. create a graph showing the depth of the water over 24 hours. b. what …
  6. math please help!!

    The depth d of water in a tank oscillates sinusoidally once every 4 hours. If the smallest depth is 7.9 feet and the largest depth is 10.1 feet, find a possible formula for the depth in terms of time t in hours. (Let the water depth …
  7. Math

    For a certain day,the depth of water,h, in metres in PEI, in hours is given by the formula:h(t) = 7.8sin (pi/6(t-3)), t E [0,24], assume t=0 represents midnight. Provide an algebraic solution to determine the time(s) of day, the water …
  8. Math

    For a certain day,the depth of water,h, in metres in PEI, in hours is given by the formula:h(t) = 7.8 + sin3.5 (pi/6(t-3)), t E [0,24], assume t=0 represents midnight. Provide an algebraic solution to determine the time(s) of day, …
  9. Math - Trig

    The depth of water, h, in metres at time t, in hours, is given by the formula: h(t)=7.8+3.5sin[pi/6(t−3)]. Its a 24 hours period and t=0 is midnight. Provide an algebraic solution to determine the time(s) of day, the water reaches …
  10. Math

    For a certain day, the depth of water, h, in metres in Tofino, B.C at time t, in hours, is given by the formula: h(t)=7.8+3.5sin[pi/6(t-3)], tE[0,24]. Assume t=0 represents midnight. Provide an algebraic solution to determine the time(s) …

More Similar Questions