Concept explainers
Revenue For groups of 80 or more people, a charter bus company determines the rate r (in dollars per person) according to the formula
(a) Express the revenue R for the bus company as a function of n.
(b) Complete the table.
n | 100 | 125 | 150 | 175 | 200 | 225 | 250 |
R |
(c) Is the formula for the rate a good one for the company? Explain your reasoning.
Want to see the full answer?
Check out a sample textbook solutionChapter 1 Solutions
Calculus: An Applied Approach (MindTap Course List)
Additional Math Textbook Solutions
University Calculus
Precalculus: A Unit Circle Approach
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
University Calculus: Early Transcendentals, Single Variable (3rd Edition)
Calculus For The Life Sciences
Calculus: Single And Multivariable
- The rate of change of an autocatalytic chemical reaction is kQxkx2 where Q is the amount of the original substance, x is the amount of substance formed, and k is a constant of proportionality. Factor the expression.arrow_forwardDepreciation A Ford Mustang purchased for 18,750 is expected to depreciate according to the formula f(x)=2200x+18,750, where f(x) is the value of the Mustang after x years. Find its value after 3 years.arrow_forwardHow do you find the value of a function?arrow_forward
- Car depreciation A car purchased for 24,000 is expected to depreciate according to the formula f(x)=1920x+24,000,wheref(x) is the value of the car after x years. When will the car be worthless?arrow_forwardDialysis A model that estimates the concentration of urea in the body for a particular dialysis patient, following a dialysis session is given by C(t,g)=0.6(0.96)(210t/1500)1+gt126t900[1(0.96)(210t/1500)1]. Where t represents the number of minutes of the dialysis session and g represents the rate at which the body generates urea in mg per minute. Source: Clinical Dialysis. a. Find C(180,8). b. Using the total differential, estimate the urea concentration if the dialysis session of part was cut short by 10 minutes and the urea generation rate was 9 mg per minute. Compare this with the actual concentration. Hint: First, replace the variable g with the number 8, this reducing the function to one variable. Then use your graphing calculator to calculate the partial derivatives Ct(180,8). A similar procedure can be done for Cg(180,8).) c. d.arrow_forwardExplain how to interpret the initial value in a word problem that uses a linear function.arrow_forward
- What is the difference between the input and the output of a function?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
- Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage LearningFunctions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage Learning
- Intermediate AlgebraAlgebraISBN:9781285195728Author:Jerome E. Kaufmann, Karen L. SchwittersPublisher:Cengage LearningGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill