Answer:
A linear formula for S as a function of D is S=17D+1534
Step-by-step explanation:
We are supposed to find a linear formula for S as a function of D.
Equation of line : y = mx+c
We are given that At the surface, the speed of sound is 1534 meters per second.
c = 1534
We are given that for each increase in depth by 1 km, the speed increases by 17 m/s
So, Slope = m = 17
Substitute the values in equation
y=17x+1534
x denotes depth
y denotes speed
We are given that Use D for depth and S for the speed of sound
So, S=17D+1534
Hence a linear formula for S as a function of D is S=17D+1534
Step-by-step explanation:
Below is an attachment containing the solution.
The function for the height is

f(0) = 5 cos(0) + 7 = 5 + 7 = 12 (verified)
The period is T = 12 hours.
After 4 hours (t = 4), the height is

A graph of f(t) confirms the answer.
Answer: 4.5 ft
Jim's backyard:
15 5/6 yd long
10 2/5 yd wide
Sod pieced:
1 1/3 yd long
1 1/3 yd wide
Area of backyard:
15 5/6 times 10 2/5 =
164 2/3 yd
Area of Sod Piece:
1 1/3 times 1 1/3 =
1 7/9 yd
Divide area of backyard by area of sod piece :
164 2/3 divided by 1 7/9 =
92 5/8
He will need to buy 93 pieces of sod to cover his backyard.