lications | RapidldentityN McGraw-Hill CampusA ALEKS - Muhammad Malik - LearnO GRAPHS AND FUNCTIONS0/3Muhammad YWriting an equation and drawing its graph to model a real-world...EspañolThe Sugar Sweet Company is going to transport its sugar to market. It will cost $3625 to rent trucks, and it will cost an additional $125 for each ton ofsugar transported.Let C represent the total cost (in dollars), and let S represent the amount of sugar (in tons) transported. Write an equation relating C to S, and thengraph your equation using the axes below.5000450040003500Equation: 03000O=0,2500-20001500 -1000 -500 -10国回国回回8图 x

Let the amount of the sugar is = S And total cost is represented by = C Cost of truck rent =$3625…

Answered: O GRAPHS AND FUNCTIONS Writing an…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter2: Functions And Their Graphs

Section2.4: A Library Of Parent Functions

Problem 45E: Fluid Flow The intake pipe of a 100-gallon tank has a flow rate of 10 gallons per minute, and two...

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Fluid Flow The intake pipe of a 100-gallon tank has a flow rate of 10 gallons per minute, and two drainpipes have flow rates of 5 gallons per minute each. The figure shows the volume V of fluid in the tank as a function of time t. Determine whether the input pipe and each drainpipe are open or closed in specific subintervals of the 1 hour of time shown in the graph. (There are many correct answers.)
Concentration of a Mixture A 1000-liter tank contains 50 liters of a 25brine solution. You add xliters of a 75brine solution to the tank. (a) Show that the concentration C, the proportion of brine to total solution, in the final mixture is C=3x+504(x+50). (b) Determine the domain of the function based on the physical constraints of the problem. (c) Sketch the graph of the concentration function. (d) As the tank is filled, what happens to the rate at which the concentration of brine is increasing? What percent does the concentration of brine appear to approach?
Population Statistics The table shows the life expectancies of a child (at birth) in the United States for selected years from 1940 through 2010. A model for the life expectancy during this period is y=63.6+0.97t1+0.01t,0t70 Where y represents the life expectancy and t is the time in years, with t = 0 corresponding to 1940. (a) Use a graphing utility to graph the data from the table and the model in the same viewing window. How well does the model fit the data? Explain. (b) Determine the life expectancy in 1990 both graphically and algebraically. (c) Use the graph to determine the year when life expectancy was approximately 70.1. verify your answer algebraically. (d) Find the y-intercept of the graph of the model. What does it represent in the context of the problem? (e) Do you think this model can be used to predict the life expectancy of a child 50 years from now?
Population Statistics The table shows the life expectancies of a child (at birth) in the United States for selected years from 1940 through 2010. A model for the life expectancy during this period is y=63.6+0.97t1+0.01t,0r70 Where y represents the life expectancy and t is the time in years, with t=0 corresponding to 1940. (a) Use a graphing utility to graph the data from the table and the model in the same viewing window. How well does the model fit the data? Explain (b) Determine the life expectancy in 1990 both graphically and algebraically. (c) Use the graph to determine the year when life expectancy was approximately 70.1. Verify your answer algebraically. (d) Identify the y-intercept of the graph of the model. What does it represent in the context of the problem? (e) Do you think this model can be used to predict the life expectancy of a child 50 years from now? Explain
Profit A company that produces calculators estimates that the profit P(in dollars) from selling a specific model of calculator is given by P=152x3+7545x2169,625,0x45 where xis the advertising expense (in tens of thousands of dollars).For this model of calculator, an advertising expense of $400,000(x=40)results in a profit of $2,174,375. (a) Use a graphing utility to graph the profit function. (b) Use the graph from part (a) to estimate another amount the company can spend on advertising that results in the same profit. (c) Use synthetic division to confirm the result of part (b) algebraically.
Tree Diameter and Age To estimate ages of trees, forest rangers use a linear model that relates tree diameter to age. The model is useful because tree diameter is much easier to measure than tree age which requires special tools for extracting a representative cross section of the tree and counting rings. To find the model, use the data in the table, which were collected for a certain variety of oaks. a Make a scatter plot of the data. b Find and graph a linear function that models the data. c Use the model to estimate the age of an oak whose diameter is 18 in. Diameter in. Age years 2.5 15 4.0 24 6.0 32 8.0 56 9.0 49 9.5 76 12.5 90 15.5 89
Filling a Pond A large koi pond is filled from a garden hose at the rate of 10 gal/min. Initially, the pond contains 300 gal of water. a Find a linear function V that models the volume of water in the pond at any time t. b If the pond has a capacity of 1300 gal, how long does it take to completely fill the pond?

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