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LINEAR EQUATIONS AND THE WORLD

LINEAR EQUATIONS AND THE WORLD. By Minh Huynh Algebra 1. What exactly is a linear equation?. A linear equation is an algebraic equation in which each term is either a constant or the product of a constant and (the first power of) a single variable .

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LINEAR EQUATIONS AND THE WORLD

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  1. LINEAR EQUATIONS AND THE WORLD By Minh Huynh Algebra 1

  2. What exactly is a linear equation? A linear equation is an algebraic equation in which each term is either a constant or the product of a constant and (the first power of) a single variable. Linear equations can be written into several formats such as point-slope, standard form, and slope-intercept form. There are other forms but we will focus on those three. The point of linear equations isn’t to just graph lines, but to represent real life situations.

  3. OK….what is this guy trying to get to? Linear equations aren’t the most exciting thing in the world, but it is a very powerful tool if you’re trying to run a business in the real world. You can use it to predict sales, find out how much money you need to make to be profitable, or trying to set monthly goals.

  4. Real Life Problem So Mike and Ike decide they want to build a business based off of selling cajun crawfish (Yum!). They plan to sell $10.00 per one pound. However, they realize that running a business isn’t that easy. They must pay a fee of keeping their business running each month of $300. Set up the linear equation with x representing the number of points and y representing profits.

  5. Where to start….??? Although the problem itself looks tough, we can make it easier if we write down all the information that’s given to us. x represents the number of pounds of crawfish sold. y represents the total profits. Revenue is the total number of pounds sold times by the price. 300 represents the cost it’s going to take to keep the business up monthly. This number must be put at -300 because it is a loss. Without having sold any crawfish, the business is already in debt! We know that Total profits equals = Revenues – Losses.

  6. Combining what is given! So combining the information given, we get: Y = 10x – 300 Let’s test this equation to see if it works. Say Mike and Ike got off to a horrible start. No one wanted their crawfish resulting in 0 pounds sold. Therefore x = 0. Plug it into the equation. Y= 10 ( 0 ) – 300 = -300. This is true because as we discussed earlier, with no pounds sold, the business is already in a 300 dollar debt!

  7. Summary It’s difficult to comprehend how linear equations relate to our real world if we’re just solving for x and y without a definite purpose. If we apply to real life situations, we would understand that we can predict certain outcomes for businesses and know what goals to set. The crawfish problem was a simple example how linear equations can be used to show outcomes.

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