Math 1090.004 College Algebra
Homework 02
Due: 23 January 2013
Name
Student ID Number:
Instructions:
• Attach this cover sheet to the front of your homework assignment.
• Follow the Homework Guidelines listed on the course webpage.
• Solve the Part A problems on your own paper and attach.
• Solve the Part B problems listed in this handout and attach.
DO NOT WRITE IN THIS TABLE!!!
(It is for grading purposes.)
Quantity of Completed Homework Problems:
Grade: Homework
Quiz
1
out of 89
Reading Assignment:
• Chapter 1.3 - Text pages 21-26
• Chapter 1.4 - Text pages 31-36
Part A:
• Chapter 1.3 - Text pages: 27-30
Problems: 1-4, 16-21, 22-27, 33-35, 40-45, 53-58, 63-65, 74, 75-79, 8082, 86-88, 92-93, 95-97, 99, 102
• Chapter 1.4 - Text pages: 37 - 40
Problems: 1-4, 9-12, 17-22, 14, 29-31, 66, 68, 69-71, 77-78
Part B:
Review of Ch 1.1 and 1.2
1. Solve for x and check your work:
2
3x
5
−x=
x
10
−
5
2
6
−
2. Solve for x and check your work: x+3
[Hint: Factor the Denominator]
5
x−2
20
= − x2 +x−6
What “special” step must always be completed with this type of problem?
3
3. The bus fare in a city is $1.25. People who use the bus have an option
of purchasing a monthly coupon book for $21.00. With the coupon
book, the fare is reduced to $0.50.
(a) Let x represent the number of times in a month the bus is used.
Write the algebraic expressions for the total monthly costs of using
the bus x times both with and without the coupon book.
[Hint: you should have two equations]
(b) Determine the number of times in a month the bus must be used
so that the total monthly cost without the coupon book is the
same as the total monthly cost with the coupon.
4
4. On two examinations, you have grades of 86 and 88. There is an
optional final examination which counts as one grade. You decide to
take the final in order to get a course grade of an A, meaning a final
average of at least 90.
(a) What must you get on the final to earn an A in the course?
(b) By taking the final, if you do poorly, you might risk the B that
you have in the course based on the first two exam grades (i.e. if
you do poorly you might bring your grade down).
If your final average (including the final) is less than 80, you will
lose your B in the course. Describe the grades on the final that
will cause this to happen.
5
5. A business discovers a linear relationship between the number of shirts
it can sell and the price per shirt. In particular, 20,000 shirts can be
sold at $19 each, and 2000 of the same shirts can be sold at $55 each.
(a) Write the slope-intercept equation of the demand line through the
ordered pairs (20,000 shirts, $19) and (2000 shirts, $55)
(b) Then determine the number of shirts that can be sold at $50 each.
6
6. In 1970 the life expectancy of males in the US was 68 years. In 2005 it
was 78 years. Write a linear equation to represent this information.
7