Mat116

Axia College Material

Appendix F

Buying a Home

For most people, buying a house is a great investment that can offer security in an uncertain world, but buying a house is also a commitment.

Application Practice

Answer the following questions. Use Equation Editor to write mathematical expressions and equations. First, save this file to your hard drive by selecting Save As from the File menu. Click the white space below each question to maintain proper formatting.

a)

x + y = 56

b)

y = 3x

c)

x + 3x = 56

4x = 56

x = 56/4

x = 14

y = 3x

y = 3(14)

y = 42

d)

Part a

y = -x + 56

x intercept (56, 0)

y intercept (0, 56)

Part b

y = 3x

x intercept (0, 0)

y intercept (0, 0)

The lines from part a and part b intersect at point (14,42)

e)

x + y = 38

f)

175,000x + 200,000y = 7,200,000

g)

x + y = 38

y = 38 – x

175,000x + 200,000y = 7,200,000

175,000x + 200,000 (38 - x) = 7,200,000

175,000x + 7,600,000 - 200,000x = 7,200,000

400,000 = 25,000x

x = 16

y = 38-16

y = 22

h)

Heavy Lifting:

$80 + $35(2) =

$80 + $70 =

$150

Quick Move:

$55(2) =

$110

The Quick Move is a better deal.

i) Which mover provides a better deal for 15 hours of work? How did you arrive at your answer?

Heavy Lifting:

$80 + $35(15) =

$605

Quick Move:

$55(15) =

$825

Heavy Lifting is a better deal.

j)

Heavy Lifting:

80 + 35h

Quick Move:

55h

Because Quick Move offers the better deal

55h < 80 + 35h

20h < 80

h < 4

Below 4 hours with the quick Quick Move offer is definitely the better deal.