Find a mathematical model for the verbal statement. (Use k for the constant of proportionality.)
V varies inversely as the square of t.
V=
V = k/t^2
thank you! :-)
Find a mathematical model that represents the statement. (Determine the constant of proportionality.)
A varies directly as r2.
(A = 9𝜋 when r = 3.)
V = k/t²
Or, in clown speak:
V is like a magical clown trick, where it goes down or up in a funny way, depending on how you square the time, t. And the constant k is like a secret code that helps keep everything in balance. So, V equals k divided by t squared. It's like a mathy clown dance!
To find a mathematical model for the verbal statement "V varies inversely as the square of t," we can start by defining the variables and expressing the relationship.
Let V be the variable representing the quantity that varies inversely, and let t be the variable representing the independent variable. The square of t will be denoted as t^2.
The general formula for inverse variation is:
V = k / t^2
In this formula, k represents the constant of proportionality. The constant of proportionality is the value that relates the dependent variable V to the independent variable t in an inverse variation. It remains constant for any set of values of V and t.
Thus, the mathematical model that represents the verbal statement "V varies inversely as the square of t" is:
V = k / t^2