Page 488 - Algebra 1

20. Data Analysis Use the table of values to draw a scatter plot. (71)
21. Determine if the inequality symbol in the inequality 11b < 5 needs to be reversed, (70) and then solve.
*22. Geometry JoAnna is making a banner the shape of an equilateral triangle. She has (70) 36 inches of cording to put around the banner. Write and solve an inequality to
find the range of measures of one side of the banner.
23. Multi-Step A company spends 2% of its sales on marketing. How much money does (70) the company need to earn to spend at least $250,000 on marketing?
a. Write an inequality to represent the situation.
b. Solve the inequality.
c. How much money is needed to spend $250,000 on marketing?
24. Generalize How would you choose which variable to eliminate when solving a (63) system of linear equations?
25. Use the table to determine if there is a positive correlation, a negative correlation, (71) or no correlation between the data sets.
26. Write Is it possible to determine the mode of a data set using a histogram? (62) Explain.
x
72
60
65
50
56
69
y
32
31
30
28
28
38
x
3
6
10
13
15
17
y
100
88
73
62
51
38
27. Pendulum The period of a pendulum is equal to 2π √ _l , where l is the length of g
(61) the pendulum and g is the acceleration due to gravity. If the length of the pendulum is 40 m and the acceleration due to gravity is 10 m/s2, what is the period of the pendulum?
*28. Demography The population of Fremont, California in 2005 was 200,770 and
(55) increased by 921 people by 2006. The population of Amarillo, Texas in 2005 was
183,106 and increased by 2419 people by 2006.
a. Write a system of linear equations to represent the population of these cities
assuming that they continued to grow at these yearly rates. Let x be the number of years after 2005 and y be the population.
b. Use a graphing calculator to solve the system of equations. At what year would the populations be equal?
29. Write an equation for a direct variation that includes the point (6, 42). (56)
30. Multi-Step A cereal box is in the shape of a rectangular prism. Find the volume of (58) a cereal box that has a width of (2x + 2) inches, a length of (5x + 1) inches, and a
height of (6x + 4) inches.
a. Multiply the length times the width.
b. Multiply the height times the product found in part a.
Lesson 71 473