find a mathematical model for the verbal statement.
p varies inversely as the square of r
time to review the topic.
p = k/r^2
To express the verbal statement "p varies inversely as the square of r" as a mathematical model, we can use the following equation:
p = k / r^2,
where p represents the dependent variable, r represents the independent variable, and k is the constant of variation.
To find a mathematical model for the verbal statement "p varies inversely as the square of r," we can use the formula for inverse variation.
In general, for two variables p and r that vary inversely, we can write the equation as:
p = k / r
where k is the constant of variation.
In this particular case, where p varies inversely as the square of r, we use the square of r in the equation. Therefore, the mathematical model for the verbal statement is:
p = k / r^2