The amount of water in a tub increases at a constant rate. After 5 minutes of filling, the amount of water in the tub is 18.75 gallons. After 14.2 minutes of filling, the amount of water in the tub is 33.93 gallons. A) Determine the function f that models the amount of water in the tub with respect to the number of minutes that tub has been filling. Define any variables used. B) Evaluate f (11.2) and explain the meaning in the context of the problem. C) Determine the vertical intercept and explain the meaning in the context of the problem.
The amount of water in a tub increases at a constant rate. After 5 minutes of filling, the amount of water in the tub is 18.75 gallons. After 14.2 minutes of filling, the amount of water in the tub is 33.93 gallons.
A) Determine the function f that models the amount of water in the tub with respect to the number of minutes that tub has been filling. Define any variables used.
B) Evaluate f (11.2) and explain the meaning in the context of the problem.
C) Determine the vertical intercept and explain the meaning in the context of the problem.
D) Determine the horizontal intercept and explain the meaning in the context of the problem.
E) Assuming the tub has a capacity of 40 gallons, determine the practical domain and range of the function.
f) Determine the formula for the inverse function f ^-1.
g) Evaluate f^-1 (11.2) and explain the meaning in the context of the problem.
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