Question

Fish The average length of a yellow-banded angelfish is 12 inches. This is 4.8 times as long as an average common goldfish.

a. Write an equation you could use to find the length of the average common goldfish.

b. What is the length of an average common goldfish?

Short answer

(a) The equationuses to find the length of the average common goldfish is$4.8x=1.$

(b)The length of an average common goldfish is 2.5 inch.

Step-by-step solution

Part a. Step 1. Given information.

The average length of a yellow-banded angelfish is 12 inches.

This is 4.8 times as long as an average common goldfish.

Part a. Step 2. Calculation.

Suppose the length of a yellow-banded angelfish is $=x$.$4.8$

As the given information:

The equation for the length of the goldfish is:

$4.8x=12$

Part a. Step 3. Conclusion.

Hence, the equation uses to find the length of the average common goldfish is $4.8x=1$.

Part b. Step 1. Given information.

The average length of a yellow-banded angelfish is 12 inches.

This is 4.8 times as long as an average common goldfish.

Part b. Step 2. Calculation.

The equation used to find the length of the goldfish will be:

$\begin{array}{l}4.8x=12\\ \Rightarrow x=\frac{12}{4.8}\\ \Rightarrow x=\frac{12}{48}\left(10\right)\\ \Rightarrow x=2.5\mathrm{inch}\end{array}$

Part b. Step 3. Conclusion.

Hence, the length of an average common goldfish is 2.5 inch.