How does solving equations apply to the real world

Other variables may be involved as well. With the information at hand, you can calculate which loan is the best choice for you. Simultaneous equations can be used when considering the relationship between the price of a commodity and the quantities of the commodity people want to buy at a certain price. An equation can be written that describes the relationship between quantity, price and other variables, such as income.

These relationship equations can be solved simultaneously to determine the best way to price the commodity and sell it. You can use simultaneous equations to decide on your best investment option, taking into account the duration of the investment, the interest it will accrue, as well as other variables that will affect the end result. With respect to mixtures, simultaneous equations can be used for achieving a certain consistency in a resultant product, which is dependent on the consistency of the compounds mixed together to produce it.

Mary H. How to Use Algebra 2 in Real Life. Substitute the perimeter value and the expression for length into the formula. It is often helpful to make a sketch and label the sides. The perimeter of a tablet of graph paper is 48 in 2. Find the area of the graph paper. The reason we use the perimeter formula is because we know enough information about the perimeter that the formula will allow us to solve for one of the unknowns.

As both perimeter and area use length and width as dimensions, they are often used together to solve a problem such as this one. We know that the length is 6 in. Substitute the value of the perimeter and the expression for length into the perimeter formula and find the length. A game room has a perimeter of 70 ft. The length is five more than twice the width. How many ft 2 of new carpeting should be ordered? However, because we are describing width, we can use only the positive result.

As these amounts do not change, we call them fixed costs. When dealing with real-world applications, there are certain expressions that we can translate directly into math. The table lists some common verbal expressions and their equivalent mathematical expressions. Find the two numbers. The sum of the two numbers is We usually interpret the word is as an equal sign. Find a linear equation to solve for the following unknown quantities: One number is three more than twice another number.

There are two cell phone companies that offer different packages. We can find this point by setting the equations equal to each other and solving for x. Therefore, a monthly average of talk-time minutes renders the plans equal. Skip to main content. Models and Applications.