Concept explainers
Carefully read through the list of terminology we’ve used in Unit 3. Consider circling the terms you aren’t familiar with and looking them up. Then test your understanding by using the list to fill in the appropriate blank in each sentence.
building up
conditional equation
direct variation
equation
equivalent
equivalent equations
exchange rate
generalizing
inequality
line of best fit
linear equation
literal equation
proportion
rate of change
slope
solution
solution to a system
solving a system
system of equations
terms
x intercept
y intercept
An equation stating that two ratios are equal is called a _______________.
Want to see the full answer?
Check out a sample textbook solutionChapter 3 Solutions
Pathways To Math Literacy (looseleaf)
- LIFE SCIENCE APPLICATIONS HIV Infection The time interval between a persons initial infection with HIV and that persons eventual development of AIDS symptoms is an important issue. The method of infection with HIV affects the time interval before AIDS develops. One study of HIV patients who were infected by intravenous drug use found that 17 of the patients had AIDS after 4 years and 33 had developed the disease after 7 years. The relationship between the time interval and the percentage of patients with AIDS can be modeled accurately with a linear equation. Source: Epidemiologic Review. a. Write a linear equation y=mt+b that models these data, using the ordered pairs (4,0.17) and (7,0.33). b. Use your equation from part a to predict the number of years before half of these patients will have AIDS.arrow_forwardUsing your graphing calculator, make a scatter plot of the data from the table. Then graph your model from Question 2 along with the data. How well does your model fit the data? What could you do to try to improve your model?arrow_forwardGrade Point Average In many universities students are given grade points for each credit unit according to the following scale: A4 points B3 points C2 points D1 points F0 points For example, a grade of A in a 3-unit earns 43=12 grade points and grade points and a grade of B in a 5-unit course earns 35=15 grade points. A student’s grade point average (GPA) for these two courses is the total number of grade points earned divided by the number of units; in this case the GPA is (12+15)/8=3.375 . (a) Find a formula for a GPA of a student who earns a grade A in a units of course work, B in b units; C in c units, D in d units, and F in f units. (b) Find a GPA of a student who has earned a grade of A in two-units courses. B in one 4-unit course, and C in three 3-unit courses.arrow_forward
- Grade Point Average In many universities students are given grade points for each credit unit according to the following scale: A 4 points B 3 points C 2 points D 1 point F 0 point For example, a grade of A in a 3-unit course earns 43=12 grade points and a grade of B in a 5-unit course earns 35=15 grade points. A students grade point average GPA for these two courses is the total number of grade points earned divided by the number of units; in this case the GPA is (12+15)8=3.375. a Find a formula for the GPA of a student who earns a grade of A in a units of course work, B in b units, C in c units, D in d units and F in f units. b Find the GPA of a student who has earned a grade of A in two 3-unit courses, B in one 4-unit courses and C in three 3-unit courses.arrow_forwardRunning In 1987, Canadian Ben Johnson set a world record in the 100-m sprint.The record was later taken away when he was found to have used an anabolic steroid to enhance his performance. His speed at various times in the race is given in the following table . Source: Information Graphics. Timesec Speedmph 0 0 1.84 12.9 3.80 23.8 6.38 26.3 7.23 26.3 8.96 26.0 9.83 25.7 a. Use the information in the table and left endpoints to estimate the distance that Johnson ran in miles. You will first need to calculate t for each interval. At the end, you will need to divide by 3600 the number of seconds in an hour, since the speed is in miles per hour. b. Repeat part a, using right endpoints. c. Wait a minute, we know that the distance Johnson ran is 100m. Divide this by 1609, the number of meters in a mile, to find how far Johnson ran in miles. Is your answer from part a or part b closer to the true answer? Briefly explain why you think this answer should be more accurate. d.arrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillCalculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
- Algebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage LearningBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt