Chapter 8 linear appliCaTionS 229
✔SOLUTIONS
- $75 will be increased by 15%:
75 + (0.15)(75) = 75 + 11.25 = 86.25
The new rate will be $86.25. - 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. - 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.
- 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.