First quantity: miles that were driven in a week to go from home to work and back again Second quantity: gallons of gas used per week Соmmuting miles driven 240 320 240 400 240 320 240 240 per week Gallons of gas used per week 8 10.7 8. 13.3 8. 10.7 8. 2. Yes, this is a function because once I know how many miles I drove in a week, I get the same number for gallons of gas used (240 miles always goes with 8 gallons). 3. The original scenario was a function 4. Independent variable: d was the miles driven in a week, Dependent variable: g is gallons of gas used in a week. Function: g=fd). It is a line equation and I can find the function by finding my slope etc. See if you can graph this function. You will need to change the scale. 5. 6.

First quantity: miles that were driven in a week to go from home to work and back again Second quantity: gallons of gas used per week Соmmuting miles driven 240 320 240 400 240 320 240 240 per week Gallons of gas used per week 8 10.7 8. 13.3 8. 10.7 8. 2. Yes, this is a function because once I know how many miles I drove in a week, I get the same number for gallons of gas used (240 miles always goes with 8 gallons). 3. The original scenario was a function 4. Independent variable: d was the miles driven in a week, Dependent variable: g is gallons of gas used in a week. Function: g=fd). It is a line equation and I can find the function by finding my slope etc. See if you can graph this function. You will need to change the scale. 5. 6.

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

ChapterP: Prerequisites

Section: Chapter Questions

Problem 7PS: Titanic At 2:00 p.m. on April 11, 1912, the Titanic left Cobh, Ireland, on her voyage to New York...

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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).
Grazing Kangaroos The amount of vegetation eaten in a day by a grazing animal V of food available measured as biomass, in units such as pounds per acre. This relationship is called the functional response. If there is little vegetation available, the daily intake will be small, since the animal will have difficulty finding and eating the food. As the amount of food biomass increases, so does the daily intake. Clearly, though, there is a limit to the amount the animal will eat, regardless of the amount of food available. This maximum amount eaten is the satiation level. a.For the western grey kangaroo of Australia, the functional response is G=2.54.8e0.004V, where G=G(V) is the daily intake measured in pounds and V is the vegetation biomass measured in pounds per acre. i. Draw a graph of G against V. Include vegetation biomass levels up to 2000 pounds per acre. ii. Is the graph you found in part i concave up or concave down? Explain in practical terms what your answer means about how this kangaroo feeds. iii. There is a minimal vegetation biomass level below which the western grey kangaroo will eat nothing. Another way of expressing this is to say that the animal cannot reduce the food biomass below this level. Find this minimal level. iv. Find the satiation level for the western grey kangaroo. b. For the red kangaroo of Australia, the functional response is R=1.91.9e0.033V, Where R is the daily intake measured in pounds and V is the vegetation biomass measured in pounds per acre. i. Add the graph of R against V to the graph of G you drew in part a. ii. A simple measure of the grazing efficiency of an animal involves the minimal vegetation biomass level described above: The lower the minimal level for an animal, the more efficient it is at grazing. Which is more efficient at grazing, the western grey kangaroo or the red kangaroo?
Growth in Length of Haddock D.S. Raitt found that the length L of haddock in centimeters as a function of the age t in years is given approximately by the formula L=5342.820.82t a. Calculate L(4) and explain what it means. b. Compare the average yearly rate of growth in length from age 5 to age 10 years with the average yearly rate of growth from age 15 to age 20 years. Explain in practical terms what this tells you about the way haddock grow. c. What is the longest haddock you would expect to find anywhere?
Radioactive Decay The half-life of radium-226 is 1590 years. (a)If a sample has a mass of 150 mg, find a function that models the mass that remains after tyears. (b)Find the mass that will remain after 1000 years. (c)After how many years will only 50 mg remain?