Summary Exercises on Solving Applied Problems 89
Graph each interval. See Section 1.1.- 1 4, q 2 50. 1 - q, - 24 51. 1 - 2, 6 2 52. 3 - 1, 6 4
PREVIEW EXERCISES
Solve each problem.SUMMARY EXERCISESon Solving Applied Problems
1.The length of a rectangle is 3 in. more
than its width. If the length were de-
creased by 2 in. and the width were
increased by 1 in., the perimeter of the
resulting rectangle would be 24 in. Find
the dimensions of the original rectangle.2.A farmer wishes to enclose a rectangu-
lar region with 210 m of fencing in
such a way that the length is twice the
width and the region is divided into
two equal parts, as shown in the figure.
What length and width should be used?x+3x
LengthWidth3.After a discount of 46%, the sale price for a Harry PotterPaperback Boxed Set
(Books 1–7) by J. K. Rowling was $46.97. What was the regular price of the set of
books to the nearest cent? (Source:www.amazon.com)
4.An electronics store offered a Blu-ray player for $255, the sale price after the regular
price was discounted 40%. What was the regular price?
5.An amount of money is invested at 4% annual simple interest, and twice that amount is
invested at 5%. The total annual interest is $112. How much is invested at each rate?
6.An amount of money is invested at 3% annual simple interest, and $2000 more than
that amount is invested at 4%. The total annual interest is $920. How much is invested
at each rate?
7.LeBron James of the Cleveland Cava-
liers was the leading scorer in the NBA
for the 2007–2008 season, and Dwyane
Wade was the leading scorer for the
2008–2009 season. Together, they
scored 4636 points, with James scoring
136 points fewer than Wade. How
many points did each of them score?8.Before being overtaken by Avatar, the
two all-time top-grossing American
movies were Titanic and The Dark
Knight. Titanicgrossed $67.5 million
more than The Dark Knight. Together,
the two films brought in $1134.1 mil-
lion. How much did each movie gross?
(Source: http://www.imdb.com)(continued)