Page 462 - Algebra 1

13. A car rental company charges a flat rate of $50 and an additional $.10 per mile to (52) rent an automobile. Write an equation to model the total charge y in terms of x
number of miles driven. Predict the cost after 100 miles driven.
14. Chemistry When Liquid A has a temperature of 0°F, Liquid B has a temperature
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*15. Use the following system to answer the problems below.
of -8°F. When Liquid A has a temperature of 4°F, Liquid B has a temperature of -9°F. Write an equation of a line that passes through the two points that represent the data in this problem. Use the equation to predict the temperature of Liquid B if Liquid A has a temperature of -4°F.
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16. Carpentry Jorgeisaddingarectangularfamilyroomontohishouse.The
(58) dimensions of the room can be represented by a width of (x + 6) feet and a length
of (2x + 5) feet. Write a polynomial expression for the area A of the new room. 17. Multi-Step The sum of 6 times a boy’s age and 5 times a girl’s age is 150. The girl is
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2 years less than twice the boy’s age. Find how old each was 5 years ago.
18. Justify True or False: (a + b)(a + b) = a2 + b2. Justify by giving an example.
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19. Craft Fair Celine sells her hand-painted chairs and tables at a local craft fair. She
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20. Error Analysis Two students want to find the equation of the line perpendicular to
(65) y = -_1 x + 4 that passes through (1, -3). Which student is correct? Explain the error.
5
x=y+2 2x = y
a. Graph the system.
b. Determine the solution. Verify the solution using your graphing calculator.
is selling her chairs for $30 a piece and her tables for $60 a piece. At the end of the day, she noted that she had sold 20 items for a total of $780. How many chairs did Celine sell? how many tables?
Student A
y = 5x + b
1 = 5(-3) + b 1 = -15 + b
+15 +15 16 = b
y = 5x + 16
Student B
y = 5x + b -3 = 5(1) + b -3 = 5 + b -5 -5
-8 = b
y = 5x - 8
21. Multi-Step Draw a coordinate grid, numbering from -6 to +6 along the x- and (65) y-axis. Will a line that passes through the points (0, -4) and (5, -2) be
perpendicular to the line that passes through the points (-2, 5) and (0, 1)?
a. Model Line 1 passes through the points (0, -4) and (5, -2). Line 2 passes
through the points (-2, 5) and (0, 1). Graph the lines.
b. Write an equation for both lines.
c. Justify Are the lines perpendicular? Explain.
Lesson 68 447