# Examples of Real World Applications in Business Math

1) How can you solve for an equation of a line given the following.

A. One point and the slope

B. Two points

C. Slope

2) When graphing a linear inequality. How do you know if the inequality represents the area above or below the line? How do you know if it also represents the points on the line?

3) Why is it true that any two points satisfying a linear equation will give you the same graph for the line represented by the equation?

4) How do you interpret the slope and y intercept in a real world case?

5) When solving a linear inequality, why do you always solve for y?

6) Give an example of a function that you use in your profession.

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#### Solution Preview

1) How can you solve for an equation of a line given the following:

A. One point and the slope

Remember, a line has the equation y = mx + c.

m is the slope and c is the y-intercept.

If you're given one point, then you have the x and y coordinates, since a point is always the form (x,y). If you have been given the slope as well, then you have m. Therefore, you can plug everything into the basic equation for a straight line and solve for c.

B. Two points

From two points, you can calculate the slope. To solve for the slope, remember that the slope is the change of y divided by the change of x. Now, that we have the slope, you can solve the equation the same way as in A above.

C. Slope

In this case, all we can determine is the slope of the line. We have no idea where the line is on the graph. We just know that it has a specific slope. We cannot solve the ...

#### Solution Summary

In simple, easy to understand language, this solution provide detailed solutions to each of these questions regarding the application of simple mathematics in business applications. When explained carefully, it's really not that difficult!