SOLUTION: A water tank that initially contained 200 gallons of water is leaking water at a constant rate of 4 gallons per minute. For the amount of time the tank has water, which of the foll

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Question 1194719: A water tank that initially contained 200 gallons of water is leaking water at a constant rate of 4 gallons per minute. For the amount of time the tank has water, which of the following function models gives the number of gallons, G. in the tank t minutes after the leak started?

a. g(t) = 196 - t
b. g(t) = 200 - 4t
c. g(t) = 200t - 4
d. g(t) = 200t - 4r^2
e. g(t) = 200(3/4)^t
Found 2 solutions by ikleyn, math_tutor2020:
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

For the given description, only function g(t) of option (b) satisfies to the problem.



Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

t = number of minutes
This is some nonnegative real number.

The tank leaks at a rate of 4 gallons per minute.
After t minutes elapse, the tank has lost a total of 4t gallons.

Example:
If t = 2 minutes go by, then the tank has lost 4t = 4*2 = 8 gallons.

We subtract this amount (4t gallons) from the starting amount (200 gallons)

200 - 4t represents how much is left in the tank.

Going back to the previous example
If t = 2, then
200-4t = 200-4*2 = 200 - 8 = 192 gallons are left

Answer: Choice B) g(t) = 200 - 4t