Given the age in years, t, of a water-transport pipe, the formula R = 17 + 4 t can be used to predict the rate of water leakage (in gallons per minute) from the pipe as it carries water from the headquarters of a farming cooperative to farmland a mile away. What is the meaning of the constant 17 in the function R?

A. Initially the pipe leaks at 4 gallons per year.

B. Initially the pipe leaks at 17 gallons per year.

C. Initially the pipe leaks 17 gallons.

D. Initially the pipe leaks at 4 gallons per minute.

E. Initially the pipe leaks 4 gallons.

F. Initially the pipe leaks at 17 gallons per minute.

Question

Mathematics

Rodrigo Clarke

20 May, 19:05

Given the age in years, t, of a water-transport pipe, the formula R = 17 + 4 t can be used to predict the rate of water leakage (in gallons per minute) from the pipe as it carries water from the headquarters of a farming cooperative to farmland a mile away. What is the meaning of the constant 17 in the function R?

A. Initially the pipe leaks at 4 gallons per year.

B. Initially the pipe leaks at 17 gallons per year.

C. Initially the pipe leaks 17 gallons.

D. Initially the pipe leaks at 4 gallons per minute.

E. Initially the pipe leaks 4 gallons.

F. Initially the pipe leaks at 17 gallons per minute.

+1

Answers (1)

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Elisha Rocha · Answer 1

Answer: F. Initially the pipe leaks at 17 gallons per minute.

Step-by-step explanation:

Given the equation below:

R = 17 + 4t

Where R is the rate of leakage in gallons per minute,

And t is the age of pipe in years.

The rate of leakage at time t = 0 (initial rate of leakage)

R (0) = 17 + 4 (0)

R (0) = 17 gallons per minute.

Therefore the initial rate of leakage is 17gallons per minute