An example of a literal equation ( your literal equation must have at least three(3) variables)
The correct answer and explanation is:
Correct Answer:
An example of a literal equation with at least three variables is:
A = 1/2 * b * h
Explanation:
A literal equation is an equation that uses letters or symbols to represent variables. These variables often stand for quantities such as length, width, height, area, volume, time, or speed. Literal equations are commonly used in geometry, physics, and other areas of mathematics and science to express relationships between variables.
The equation A = 1/2 * b * h is a literal equation that represents the area of a triangle. It contains three variables:
- A stands for the area of the triangle
- b represents the base of the triangle
- h represents the height of the triangle
In this formula, each variable can take on different numerical values depending on the specific triangle being described. The equation is “literal” because it is written in terms of variables rather than specific numbers. The purpose of this type of equation is to show the general relationship between variables that can later be substituted with actual numbers to find a solution.
Literal equations can also be rearranged to solve for any one of the variables. For example, if you want to solve for b, you would manipulate the equation as follows:
- Multiply both sides by 2 to get rid of the fraction:
2A = b * h - Then divide both sides by h:
b = 2A / h
This manipulation is useful in algebra and in real-world problems where one variable is unknown, and the others are given. Understanding how to work with literal equations improves a student’s ability to solve complex problems and apply formulas correctly across different subjects.