21. A beaker holding 1.5 litres of water is placed in a temperature controlled room so that 120 mL of water evaporates each day. Write a function, V(d), to represent the volume of water in the beaker as a function of time, measured in d, days. What are the domain and range of the function? (1 L = 1000 mL)

21. A beaker holding 1.5 litres of water is placed in a temperature controlled room so that 120 mL of water evaporates each day. Write a function, V(d), to represent the volume of water in the beaker as a function of time, measured in d, days. What are the domain and range of the function? (1 L = 1000 mL)

Trigonometry (MindTap Course List)

8th Edition

ISBN:9781305652224

Author:Charles P. McKeague, Mark D. Turner

Publisher:Charles P. McKeague, Mark D. Turner

ChapterA: Appendix: Review Topics

SectionA.3: Introduction To Functions

Problem 29PS: Suppose you have a job that pays $8.50 per hour and you work anywhere from 10 to 40 hours per week....

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Suppose you have a job that pays $8.50 per hour and you work anywhere from 10 to 40 hours per week. a. Write an equation, with a restriction on the variable x, that gives the amount of money, y, you will earn for working x hours in one week. b. Use the function rule you have written in part (a) to complete Table 4. c. Construct a line graph from the information in Table 4. d. State the domain and range of this function.
In these problems you are asked to find a function that model a real-life situation and then use the model to answer questions about the situation. Use the guidelines on page 273 to help you. Dividing a Pen A rancher with 750 ft of fencing wants to enclose a rectangular area and then divide it into four pens with fencing parallel Lo one side of the rectangle (see the figure). (a) Find a function that models the total area of the tour pens. (b) Find the largest possible total area of the four pens.
For groups of 60 or more people, a charter bus company determines the rate per person according to the formula Rate=100.05n60,n60 where the rate is given in dollars and n is the number of people. (a) Write the revenue R as a function of n. (b) Use a graphing utility to graph the revenue function. Use the graph to approximate the number of people that will maximize the revenue.
During what time period would the broker advise buying if he thought 500 to 800 was an appropriate buy range? Example 2.10 Beginning in 2001, the price of gold was modeled approximately by G(t)=2551.18t dollars per ounce, where t is the time in years since the beginning of 2001.
Titanic At 2:00 p.m. on April 11, 1912, the Titanic left Cobh, Ireland, on her voyage to New York City. At 11:40 p.m. on April 14, the Titanic struck an iceberg and sank, having covered only about 2100 miles of the approximately 3400-mile trip. (a) What was the total duration of the voyage in hours? (b) What was the average speed in miles per hour? (c) Write a function relating the distance of the Titanic from New York City and the number of hours traveled. Find the domain and range of the function. (d) Graph the function in part (c).