Question

The voltage of an audio speaker can be represented by V=3 √P, where P is the power of the speaker. An engineer wants to design a speaker with 225 watts of power. What will the voltage be?

Answer 1

We are given the model for the voltage,

`V=3\sqrt[]{P}`

This depicts the relationship between the voltage, V and the power, P.

This way, we can find the value for one variable given the other.

Given power of 225 watts, we can find V.

`V=3\sqrt[]{225}=3*15=45V`

Voltage = 45V