Copy and complete each table. Identify which expressions are equivalent for the
given values of x.
24.
Super Bowl
The average cost of
producing a 30-second
television commercial
was more than
$370,000 in 2003.
Source: Mediapost.com
x
(x + 3)2
x2 + 9
x 2 + 6x + 9
25.
(x - 4)2 x 2 + 16
x
1
1
2
2
3
3
4
4
x 2 - 8x + 16
26. Super Bowl The cost for a 1-minute commercial during the first Super Bowl
was $85,000. The cost per 30-second commercial during Super Bowl XXXVIII was
$2,300,000.
a. Write expressions to represent the cost of an m-minute commercial during
the first Super Bowl and during Super Bowl XXXVIII.
b. If a commercial cost $170,000 during the first Super Bowl, how much would it
have cost during Super Bowl XXXVIII? How do the costs compare?
c. About 60 million viewers watched the first Super Bowl, and about 800 million
watched Super Bowl XXXVIII. Write expressions to represent how much an
m-minute commercial cost per 1000 viewers during each Super Bowl.
d. What was the cost per 1000 viewers of a 2-minute commercial during each
Super Bowl? How do the costs compare?
Geometry Write and simplify an expression for the perimeter of each figure.
27.
28.
>
Ý
ÓL
Ó>
ÓÝÓÊÊx
Ý
™ÊÊÝ
>ÊÊL
>
Ó>ÊÊL
ÝÊÊÓ
ÝÊÊÎ
ÎÝÊÊÈ
ÝÓÊÊ{
29. Travel The Dane family is going on a 15-day vacation to travel and visit relatives.
They budget $100 per day when visiting relatives and $275 per day when traveling.
a. Write an expression for the total budgeted cost of the vacation if they visit
relatives for d days.
b. What is the budgeted cost if they stay with relatives for 5 days?
c. How does this cost change for each additional day they stay with relatives?
30. This problem will prepare you for the Multi-Step Test Prep on page 42.
While Neil Armstrong and Buzz Aldrin walked on the Moon, the Apollo 11
command module completed 1 orbit every 119 minutes.
a. Write an expression for the time in minutes needed to complete n orbits.
b. Modify your expression from part a so that it represents the time in hours
needed to complete n orbits.
c. The Apollo 11 module made 30 orbits. For how many hours did it orbit
the Moon?
d. Estimate the number of orbits the Apollo 11 module would make in 1 week if
it continued at the same rate.
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