Question

A tank filled with water begins draining. The number of minutes t since the water began draining from the tank is a function of the number of gallons of water in the tank, v. We will call this function f so that f(t) = v.

Required:
a. Using function notation, represent the of gallons of water in me tank 4 minutes after the water darning from the Ink.
b. Suppose that f(4) = 7, what does this mean in the context of the problem?

Answer 1

Answer:

$(a)\ f(4) = v$

(b) There are 7 gallons left in the tank after 4 minuted

Step-by-step explanation:

Given

$f(t) = v$

$t \to$ time since water began draining

$v \to$ gallons in the tank

Solving (a): Notation for gallons remaining at 4 minutes

This means that $t=4$

$f(t) = v$ becomes

$f(4) = v$

Solving (b): Interpret f(4) = 7

We have:

$f(t) = v$

$t \to$ time since water began draining

$v \to$ gallons in the tank

This means that:

$t =4$

$v =7$

It can be interpreted as:

There are 7 gallons left in the tank after 4 minuted