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# How can we use equations inequalities to solve real life problems where certain quantities are known?

## How can we use equations inequalities to solve real life problems where certain quantities are known?

Inequalities are arguably used more often in “real life” than equalities. Businesses use inequalities to control inventory, plan production lines, produce pricing models, and for shipping/warehousing goods and materials. Look up linear programming or the Simplex method.

### How can linear equations in one variable solve real life problems where certain quantities are unknown?

Linear equations use one or more variables where one variable is dependent on the other. Almost any situation where there is an unknown quantity can be represented by a linear equation, like figuring out income over time, calculating mileage rates, or predicting profit.

How can we use equations to solve real life problems?

Simultaneous equations can be used to solve everyday problems, especially those that are more difficult to think through without writing anything down.

• Rate, Distance and Time.
• Planes, Trains and Automobiles.
• The Best Deal.
• The Best Plan.
• Deciding on a Loan.
• Cost and Demand.
• In the Air.
• The Best Job for the Money.

Where are equations used in real life?

Mathematical equations are also used in traffic control, aircraft, space program and medicine and so on. So we should always remember that any math equation result has the potential to change the world. That is the reason all mathematical equations are important in our life.

## How to model a linear equation to solve a real world problem?

The table lists some common verbal expressions and their equivalent mathematical expressions. How To: Given a real-world problem, model a linear equation to fit it. Identify known quantities. Assign a variable to represent the unknown quantity. If there is more than one unknown quantity, find a way to write the second unknown in terms of the first.

### How is a problem solved using a formula?

Many applications are solved using known formulas. The problem is stated, a formula is identified, the known quantities are substituted into the formula, the equation is solved for the unknown, and the problem’s question is answered. Typically, these problems involve two equations representing two trips, two investments, two areas, and so on.

Why do you use equations to solve problems?

The answer makes sense, because Juanita completed 25 pages in 2.5 hours, which is equivalent to a rate of 10 pages in 1 hour. Since 10 > 9, we know that she worked faster than her average rate. Tion divides his baseball cards equally among himself, his brother, and 3 friends.

How can equations and inequalities be used in real life?

Or a more complicated situation, if you need to be in the meeting at 9:30am, the travel distance is 10km and you can only leave after 8:30am, your driving speed should equal “x” km/h.” Inequalities are used for comparison. “He is taller than me.” or “The iPhone with larger memory capacity is more expensive.”.