Concept explainers
Highway tolls. It has been suggested that since heavier vehicles are responsible for more wear and tear on highways, drivers should pay tolls in direct proportion to the weight of their vehicles. Suppose a Toyota Camry weighting 3350 lb was charged $2.70 for traveling an 80-mile stretch of highway
a. Find an equation of variation that expresses the amount of the toll T as a function of the vehicle's weight w.
b. What would the toll be if a 3700-lb Jeep Cherokee drove the same stretch of highway?
Want to see the full answer?
Check out a sample textbook solutionChapter R Solutions
CALCULUS+ITS APPLICATIONS
Additional Math Textbook Solutions
Calculus: Early Transcendentals (3rd Edition)
Precalculus Enhanced with Graphing Utilities (7th Edition)
Calculus: Early Transcendentals (2nd Edition)
Calculus, Single Variable: Early Transcendentals (3rd Edition)
University Calculus: Early Transcendentals (4th Edition)
- The force needed to break a board varies inversely with its length. Richard uses 24 pounds of pressure to break a 2-foot long board. a. Write the equation of variation. b. How many pounds of pressure is needed to break a 5-foot long board?arrow_forwardIf p varies directly as q and p=10 , when q=2 . find the equation that relates p and q.arrow_forwardXander’s new business found that the daily demand for its product was inversely proportional to the price, p. When the price is $5, the demand is 700 units. (a) Write the equation of variation. (b) What is the demand if the price is raised to $7?arrow_forward
- If you travel 100 miles in two hours, then your average speed for the trip is Average speed=_________=________arrow_forwardA car’s value varies inversely with its age. Elena bought a two-year-old car for $20,000. a. Write the equation of variation. b. What will be the value of Elena’s car when it is 5 years old?arrow_forwardThe resistance of a copper wire carrying an electrical current is directly proportional to its length and inversely proportional to its cross-sectional area. A copper wire with a diameter of 0.0126inch has a resistance of 64.9ohms per thousand feet. What length of 0.0201-inch-diameter copper wire will produce a resistance of 33.5ohms?arrow_forward
- Elementary AlgebraAlgebraISBN:9780998625713Author:Lynn Marecek, MaryAnne Anthony-SmithPublisher:OpenStax - Rice UniversityAlgebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell
- College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning