Algebra Demystified 2nd Ed

(Marvins-Underground-K-12) #1
Chapter 8 linear appliCaTionS 229

✔SOLUTIONS



  1. $75 will be increased by 15%:
    75 + (0.15)(75) = 75 + 11.25 = 86.25
    The new rate will be $86.25.

  2. 67.84 increased by 46.4%:
    67.84 + (0.464)(67.84) = 67.84 + 31.48 = 99.32
    The energy consumption in the United States in the year 2008 was
    99.3 quad BTUs.

  3. Wind energy in the year 2005 increased by 183% (as a decimal, 1.83).
    Let x represent the wind energy (in trillion BTUs) in the year 2005.


xx
x
x

x

 .
(  .)


+  = 
+  = 


183 510
1183 510
283 510
5510
283
180

.
x = 

The United States consumed 180 trillion BTUs of wind energy in the year
2005.


  1. The gross pay is reduced by 40%. Let x represent gross pay.


xx
xx
x
x

–.
–.
(–.)
.

040 480
1040 480
1040 480
060



=

.




480
480
060
800

x

x

The worker’s gross pay is $800.
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