Solve each equation in Exercises 73-81 by the method of your choice.
One possible reason for the explosion of college tuition involves the decrease in government aid per student. In 2001, higher-education revenues per student averaged $8500. The bar graph shows government aid per U.S. college student from 2005 through 2012. (All figures are adjusted for inflation and expressed in 2012 dollars.)
Source: State Higher Education Executive Others Association
The mathematical model
Describes government aid per college student, G, x years after 2005.
a. Does the model underestimate or overestimate aid per student in 2011? By how much?
b. If we project the model past 2012, determine in which year government aid per student decreased to $4127.
Want to see the full answer?
Check out a sample textbook solutionChapter 1 Solutions
Algebra and Trigonometry (6th Edition)
- Finance A family has a monthly mortgage payment of $760, which is 16 of their monthly income. What is the family’s monthly income?arrow_forwardIn the situation of the example, how long could you keep the car if your expense account allowed 242?arrow_forwardA group of friends get together once a year to play a big game of poker. In 1995, when thoy began this tradition, they played for a prize of $100. They decided to increase the prize by 5% each year. a. Model: Variables: A= b. What will the prize be in 2010? How Iong must the tradition continue to reach a prize of over $1,0007arrow_forward
- The bar graph gives the average atmospheric concentration of carbon dioxide. a. Estimate the yearly increase in the average atmospheric concentration of carbon dioxide. Express the answer in parts per million. b. Write a mathematical model that estimates the average atmospheric concentration of carbon dioxide, C, in parts per million, x years after 1950. c. If the trend shown by the data continues, use your mathematical model from part (b) to project the average atmospheric concentration of carbon dioxide in 2030. Average Atmospheric Concentration of Carbon Dioxide 500- 314 320 329 341 354 368 389 397 300- 400- 200- 100- 19501960 197019801990200020102015 a. The yearly increase in the average atmospheric concentration of carbon dioxide is approximately ppm per year. (Round to the nearest tenth as needed.) b. A mathematical model that estimates the average atmospheric concentration of carbon dioxide, C, in parts per million, x years after 1950 is C = (Use integers or decimals for any…arrow_forwardThe bar graph shows the percentage of U.S. college freshmen with an average grade of A in high school.The data displayed by the bar graph can be described by the mathematical modelwhere x is the number of years after 1980 and p is the percentage of U.S. college freshmen who had an average grade of A in high school a. According to the formula, in 2010, what percentage of U.S. college freshmen had an average grade of A in high school? Does this underestimate or overestimate the percent displayed by the bar graph? By how much?b. If trends shown by the formula continue, project when 57% of U.S. college freshmen will have had an average grade of A in high school.arrow_forwardStatistics report that the baby mortality rate from 1971 to 1995 can be modelled through the equation of D=6(0.96n). Where D represents the number of deaths per 1000 in children under 1 year of age. n represents the number of years since 1995. a) Indicate if the infant mortality rate is increasing or decreasing and explain your reasoning. b)If the trend continues what will the infant mortality rate be in the year 2008? c) When would the infant mortality rate be 3 per 1000? explainarrow_forward
- The line graph shows the cost of inflation. What cost $100 in 1999 would cost the amount shown by the graph in subsequent years. The Cost of Inflation $145 150 145 140 135 $125 130 125 What cost $100 in 1999 would cost this much in subsequent years. 120 2010 2012 2014 2016 2018 2020 Year Source: U.S. Bureau of Labor Statistics Cost (dollars)arrow_forwardthe simple interest on an investment is directly proportional to the amount of the investment. For example, an investment of $2,500 earns $187.50 after one year. Find a mathematical model that gives interest /after one year in terms of the amount invested P.arrow_forwardReal Estate Inflation During a 5-year period of constant inflation, the value of a $100,000 property willincrease according to the equation v = 100,000e0.05t.a. What will be the value of this property in 4 years?b. Use a table or graph to estimate when this property will double in value.arrow_forward
- Question 2 Sales Application Statins are used to keep cholesterol in check and are a top-selling drug in the U.S. The equation: S 1.9x + 6.2 estimates the amount of sales, S, of statin (in billions of dollars) years after January 1, 1998. Sales of statin on January 1, 2010 was billion dollars. Statin sales reached 20 billion dollars in the year Question Help: Video Submit Question pe here to search a bet F3 F4 F5 F6 F7 立arrow_forwardAfter eating at a restaurant, it is customary to leave a tip t for the server for at least 15% of the cost of the meal c. Write a model to represent the amount of the tip based on the cost of the meal.arrow_forwardSales Application Statins are used to keep cholesterol in check and are a top-selling drug in the U.S. The equation: S = 1.9x + 6.2 estimates the amount of sales, S, of statin (in billions of dollars) years after January 1, 1998. billion dollars. Sales of statin on January 1, 2010 was Statin sales reached 20 billion dollars in the year Question Help: DVideo Submit Question O Type here to search a DELL F4 E5 F6 F7 F8 F9 F10 F11 F12 3 & 8. Rarrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
- Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin HarcourtFunctions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage LearningCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning