Profit(thousands of dollars)O Carnegie Learning, Inc.ACTIVITY5.2Average Rate of Changeand not $600 per year.dependent variable to the change in the independent variable overspecific interval. The formula for average rate of change isinterval (a, b). The expressionb-a represents the change in the innuvalues of the function f The expression f(b) - (a) represents the chathe output values of the function fas the input values change from oeAb) – la)b-afor theExplain why the average rate of change is positive over thisinterval.skO yourself:- What does the average rate of change represent in thiswhat otherWorked Exampleproblem situation?You can determine the average rate of change of Zorzansa's profit forthe time interval (3.25, 4.25).cion types havepreviouslymined thege rate ofge? Is the formulaZorzansa's Profits OverYears 0-52. Determine the average rate of change of Zorzansa's profits forthe time interval (1, 3).ame?p(x) 4800-2782794003. Sam has a theory about the average rate of change. Describethe error in Sam's reasoning.-400--800SamI can quickly estimate the average vate of change for intervals that are aboveand below the x-axis because they add to zero. For example, at year I, the profitis about $300,000 and at year 2.25 the profit is about -$300,000. Therefore, theaverage vate of change for the time interval (1, 2.25) is approximately $0.Time (years)Substitute the input and output valuesinto the average rate of change formula.fib) – fla)_ f(4.25) – f(3.25)b-a4.25 - 3.25Evaluate the expression.0- (-600)600= 600The average rate of change for the time interval (3.25, 4.25) isapproximately $600,000 per year.1. example.The of of a function is the ratio of the change in theLESSON 5: Level

Since multiple questions are asked, I am answering first question with all subparts.

Answered: a. interval. problem situation? 1. the…

Math

Algebra

a. interval. problem situation? 1. the worked example. c. What does the of change represent in this

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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II. Laura needs to clean her 150-gallon fish tank. The water in the fish tank is draining at a rate of 8 gallons per hour. a. Make a table to represent the amount of water in the fish tank in terms of the number of hours elapsed. Time, in hours 0 1 2 3 4 Amount of water in the fish tank, in gallons 159 174 182 b. What are the independent and dependent variables for the problem situation? Independent variable: time in Hrs Dependent variable: Amount water c. Describe any patterns in the data. +8 each time d. Can this data be represented by a linear function? yes e. What does the point (0, 150) represent in the table? hours to Gallons How much water is in the tank if it has been draining for 8 hours? Show your work
5 6 7 8 9 10 11 12 13 9 Write an equation for the line shown pictured in the graph.
Complete #8.
3. This graph displays what type of relationship?a. inverseb. directc. both inverse and directd. It is impossible to determine from the information given.
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a. According to the linear model, what was the average cost of room and board at public four-year colleges for the school year ending in 2013? The average cost was $___(Round to the nearest dollar as needed.) Im looking at the graph image and still do not understand this math problem. Please help. Both answers that I came up with for this solution, 5877 were incorrect and 7228 was also incorrect.
Activity A. Directions: For each of the item below, do the following tasks: i. Find the constant of variation. ii. Solve for the missing value in each table. (Show your solution.) Assume that y varies directly as x. II. 6. 1. y. 24 52 1 2. -3 -12 2/3 ? X 2 8. 3.
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Question A. Which vehicle arrived at Dallas first? How long did it take? B. How many miles did each vehicle travel at a proportional rate? Explain
whats the answer