Download MAT 1101 Winter 2009 Exam Solutions - Prof. Nancy Molik and more Exams Mathematics in PDF only on Docsity!
y x
y x
Test 2 MAT 1101 Winter 2009 Name ________________________
Simplify all answers and show your work! You may use MathGV as a tool.
- In the linear equation 4x – 6y = 12, what is the x-intercept? ___________ y-intercept? ___________
- In the equation 3x + 8y = –5, what is the value of the slope? ____________
- Lines that are parallel have the same ____________.
- In the equation Ax + By = C, what is the value of the slope? ____________
- Solve for x: 3(x + 8) = 8x – 2(x – 7) 6. If f(x) = 6
4 x − 9 , find the inverse (f -1(x)).
- Solve the inequality: 4(x – 2) > 6(x + 7) – 2 8. Solve the inequality: − 3 ≤ 8 − 5 x < 9
- Graph the following system of equations. 10. Solve the system of equations:
x y
x y
and find the point of intersection.
Determine if the following pairs of lines cross in one point, are parallel, or are the same line.
x y
x y
x y
x y
x y
x y
- A cablevision repairman charges a $50 flat fee for a visit and $35 per hour for any work that is done. Let y represent the cost of the repairman’s visit after working for x hours at a job.
a) What is the rate of change b) How much will a visit cost if c) Find the equation of the line y. of cost per hour? the repairman doesn’t do any work?
d) How much will a visit cost if e) How long did the repairman work if he the repairman works for 3.5 hours? made $78.75 on a job?
- When the DVD player was introduced in 1997, it sold for $500. In 2002, a DVD player sold for $155. Let C(x) represent the cost of a DVD player x years after 1997.
a) What is the rate of change of cost per year? b) Find the equation of the line C(x).
c) If the rate of change remains the same, what d) Based in this information, do you would be the cost of a DVD player in 2009? believe this function still applies?
- The population of a city is represented by the equation P(x) = 508x + 6782, where x is the number of years after 1970.
a) Is the population increasing or decreasing? b) What is the average rate of change in the population per year?
c) What would be population be in the year 2000? d) During what year would we expect the population to be 10,000?
- Andrew works at Wendy’s. In one hour he sold 15 single hamburgers and 10 double hamburgers totaling $63.25. In another hour, he sold 30 singles and 5 doubles for a total of $78.65. How much does each type of burger cost?
