Equations that represent real relationships are called mathematical models. What follows is one method of using mathematical models to solve problems.
Suppose a taxi ride from the airport to downtown costs $46.37. Suppose also that it costs $4.85 to ride in the taxi, and an additional $1.73 per mile traveled. Calculate the distance of the ride using the following method.
First, it can be helpful to highlight the information given about the situation.
A variable can be used to represent the unknown quantity in the situation.
Here, the unknown quantity is the length of the ride. Thus, the variable m will be used to represent the number of miles traveled.
Given a perimeter of 23 feet, what is the measure of the longest side of the triangle?
From here, inverse operations can be used to isolate x.
Thus, x=4 feet. By substituting x for 4 in the expressions for the unknown side lengths we can find their measures.
The side lengths of the triangle are 5, 7, and 11 feet.
Therefore, the longest side in the triangle is 11 feet long.