SOLUTION: The pressure 100 feet beneath the ocean surface is approximately 4 atm where as at a depth of 200 feet the pressure is about 7 atm A. Find a linear function that expresses pressur

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The pressure 100 feet beneath the ocean surface is approximately 4 atm where as at a depth of 200 feet the pressure is about 7 atm A. Find a linear function that expresses pressur      Log On


   

Question 947734: The pressure 100 feet beneath the ocean surface is approximately 4 atm where as at a depth of 200 feet the pressure is about 7 atm
A. Find a linear function that expresses pressure as a function of debt
B. use the function of part (a) to determine the pressure at a depth of 690 ft.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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The pressure 100 feet beneath the ocean surface is approximately 4 atm where as at a depth of 200 feet the pressure is about 7 atm
:
A. Find a linear function that expresses pressure as a function of depth
Find the slope (m) with x/y pairs:
x1 = 100 y1 = 4
x2 = 200 y2 = 7
m = %28%287-4%29%29%2F%28%28200-100%29%29%29 = 3%2F100 = .03 is the slope
At 0 depth, there will be 1 atm, therefore y = 1 when x=0:
f(x) = .03x + 1
:
B. use the function of part (a) to determine the pressure at a depth of 690 ft.
f(x) = .03(690) + 1
f(x) ~ 22 atm at 690 ft