The density of a fish tank is [tex]0.2 \frac{\text{fish}}{\text{feet}^3}[/tex]. There are 8 fish in the tank. What is the volume of the tank?

A. [tex]4 \text{ ft}^3[/tex]
B. [tex]16 \text{ ft}^3[/tex]
C. [tex]32 \text{ ft}^3[/tex]
D. [tex]40 \text{ ft}^3[/tex]



Answer :

To determine the volume of the tank, we need to use the given density and the number of fish.

Here are the steps for solving the problem:

1. Understand the given information:
- The density of the fish tank is \(0.2 \frac{\text{fish}}{\text{ft}^3}\). This means that for every cubic foot of water, there are 0.2 fish.
- There are 8 fish in the tank.

2. Formulate the equation:
The formula to find the volume of the tank (V) when the number of fish (n) and the density (D) are given is:
[tex]\[ \text{Volume} = \frac{\text{number of fish}}{\text{density}} \][/tex]

3. Substitute the given values into the equation:
- Number of fish, \( n = 8 \)
- Density, \( D = 0.2 \frac{\text{fish}}{\text{ft}^3} \)

So the equation becomes:
[tex]\[ \text{Volume} = \frac{8}{0.2} \][/tex]

4. Perform the division:
[tex]\[ \frac{8}{0.2} = 40 \text{ ft}^3 \][/tex]

5. Conclusion:
Therefore, the volume of the tank is \( 40 \text{ ft}^3 \).

Answer: [tex]\( 40 \text{ ft}^3 \)[/tex].