# Applications of Linear Equations

Problems #'s 8, 16, 28, 38 these I need help completing

Hint: (in order to draw points and lines on the graph I use Paint) Click on it and copy/paste it into an open Paint file

1. Click on the spray-paint icon and then choose the smallest splotch (there were three sizes

2. After you plot the points then paste again into word (same applies for a line)

In exercise 8, we have graphed the boundary line for the linear inequality. Determine the correct half-plane in this case, and complete the graph.

8. y > 3

Graph each of the following inequalities.

16. 4x + y > 4

28. 3x - 4y < 12

38. Number problems. You have at least $30 in change in your drawer, consisting of dimes and quarters. Write an inequality that shows the different number of coins in your drawer.

Last problems I need help with are #'s 2, 18, 22, 30, 36, 54

In exercise 2, evaluate each function for the value specified.

2. Find (a) f (0), (b) f (5), and (c) f (-2)

In exercises 18, rewrite this equation as a function of x.

18. - 3x + 4y = 11

In exercise 22, graph the functions.

22. f (x) = - 2x - 5

In exercise 30, if f (x) = 4x - 3, find the following:

30. f (-1)

In exercise 36, if f (x) = 5x - 1, find the following:

36. f (a - 2)

54. Business and finance. If the inventor in exercise 53 charges $4 per unit, then her profit for producing and selling x units is given by the function

P(x) = 2.25x - 7000

(a) What is her profit if she sells 2000 units?

(b) What is her profit if she sells 5000 units?

(c) What is the break-even point for sales?

#### Solution Summary

Linear equations are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.