# Algebra - Linear Equation for a School Library

Solve the problem

5).

A school library has $15,000 to spend on new books among the four

categories of biology, chemistry, physics, and mathematics. If the amount spent on biology books is to be the same as the amount spent on chemistry books and if the amount spent on mathematics books is to be the same as the total spent on chemistry and physics books, how can the money be distributed among the four types of books? (Let x denote the amount spent on biology books, y the amount spent on chemistry books, z the amount spent on physics books, and w the amount spent on mathematics books. Let all amounts be in dollars, and let w be the parameter.)

A)x=15,000+w,y=15,000+w,z=w-15,000, 2500 < (less than of equal to symbol). w < (less than or equal to symbol) 7500

B)x=15,000-3w,y=15,000-3w,z = 4w-15,000, 5000 <(less than or equal to sign) w <(less than or equal to) 10,000

C)x=15,000-2w,y=15,000-2w,z=3w-15,000,5000 <(less than or equal to sign) w < (less than or equal to) 7500

D)x=15,000-w,y=15,000-w,z=2w-15,000,2500 <(less than or equal to sign) w <(less than or equal to)5000

6). Graph the equation y=-1/4x+1

7). Use the Gauss-Jordan method to solve the system of equations.

-2x-5y=-15

-6x-15y=45

Please see the attached.

© BrainMass Inc. brainmass.com October 17, 2018, 12:02 am ad1c9bdddfhttps://brainmass.com/math/linear-algebra/algebra-linear-equation-school-library-278655

#### Solution Preview

(5) Option (C) is the answer

(6 and 7) See the attached file.

6). ...

#### Solution Summary

Linear equations for a school library in algebra is examined. The Solution is provided. Also File is attached.

Using the Library, web resources, and/or other materials, find a real-life application of a linear function. State the application, give the equation of the linear function, and state what the x and y in the application represent. Choose at least two values of x to input into your function and find the corresponding y for each. State, in words, what each x and y means in terms of your real-life application. Please see the following example. Do not use any version of this example in your own post. You may use other variables besides x and y, such as x and W as depicted in the example. Be sure to reference your sources using APA style.

Using the Library, web resources, and/or other materials, find a real-life application of a linear function. State the application, give the equation of the linear function, and state what the x and y in the application represent. Choose at least two values of x to input into your function and find the corresponding y for each. State, in words, what each x and y means in terms of your real-life application. Please see the following example. Do not use any version of this example in your own post. You may use other variables besides x and y, such as x and W as depicted in the example. Be sure to reference your sources using APA style.

The number of women, W, in millions, enrolled in colleges x years after 1984 can be approximated by W = 0.01x + 3.9. (Blitzer, 2007). When x = 16, W = 0.01(16) + 3.9 = 4.06. This implies that in the year 2000 (16 years from 1984) there were approximately 4.06 million women enrolled in colleges. When x = 20, W = 0.01(20) + 3.9 = 4.1. This implies that in the year 2004 (20 years from 1984) there were approximately 4.1 million women enrolled in colleges.

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