€IMW!1aQS>SCTotal pay(dollars)2ExplanationS144O GRAPHS AND FUNCTIONSFinding the intercepts and rate of change given a graph of a...250-225-200+175-150-125-NEach day, Ryan earns a fixed wage plus extra money for every hour of overtime he works. The graph shows his total pay (in dollars) versus the amount ofovertime (in hours) that he works.100.75-50-25B0**Overtime (hours)Check3A DOL4449%5V My Courses Homewww-awu.aleks.com(a) What is Ryan's total pay with 0 hours of overtime?(b) Choose the statement that best describes how the amountof overtime and total pay are related. Then fill in the blank.$0As the amount of overtime increases, the total paydecreases.At what rate is the total pay decreasing?per hourDILLTIA-College Algebra Secti.....As the amount of overtime increases, the total payincreases.At what rate is the total pay increasing?$ per hourA6MacBook Pro&78 08XS*8CH Plato, "The Allegory of the C...(9OD 0/3© 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center)AOMa

To find out the answers of the parts by the help of the graph given.

Answered: S OGRAPHS AND FUNCTIONS Finding the…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter2: Functions And Their Graphs

Section2.1: Linear Equations In Two Variables

Problem 110E

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Lidocaine Lidocaine is a drug used to treat irregular heartbeats. After an injection of a 100-mg dose of lidocaine, the amount of the drug in a patients bloodstream is 33.67(e0.0075731te0.12043t)mg at time t minutes after the injection. a. Make a graph of the amount of drug in the bloodstream for t up to 4 hours 240 minutes. b. When does the drug reach its maximum level in the bloodstream? c. For a person of typical size, the drug is effective as long as the amount in the bloodstream is at least 7.5 mg. For how long is the drug at or above that level? Hint: The drug is at that level twice. d. For a person of typical size, the lethal level occurs when the amount in the bloodstream exceeds 30 mg. Is this dose lethal for such a person? e. For a small person, the lethal level occurs when the amount in the bloodstream exceeds 15 mg. Is this dose lethal for such a person? If so, after how many minutes will it be lethal?
TEST TOUR UNDERSTANDING FOR EXAMPLE 2.3 Suppose a company has 15 worker and always produces 1000 items per day. Union agreements limit working time for each employee to no more than 10 hours per day. Make a graph of labor productivity versus hours worked per employee per day. In this setting, when the number of hours worked increases, does productivity increase or decrease?
Manufacturing Cost The manager of a furniture factory finds that it costs 2200 to produce 100 chairs in one day and 4800 to produce 300 chairs in one day. a Assuming that the relationship between cost and the number of chairs produced is linear, find a linear function C that models the cost of producing x chairs in one day. b Draw a graph of C. What is the slope of this line? c At what rate does the factorys cost increase for every additional chair produced?
HOW DO YOU SEE IT? Match the description of the situation with its graph. Also determine the slope and y-intercept of each graph and interpret the slope and y-intercept in the context of the situation. [The graphs are labeled (i), (ii), (iii), and (iv).] (a) A person is paying $20 per week to a friend to repay a #35;36;200 loan. (b) An employee receives $12.50 per hour plus $2 for each unit produced per hour. (c) A sales representative receives $30 per day for food plus $0.32 for each mile traveled. (d) A computer that was purchased for $750 depreciates #35;36;100 per year.
Buying a Car: If you buy a 25,000 car at an APR of 6, then your monthly payments depends on the term of the loan. If the term is t months, then your monthly payment is M=25,0000.0051.005t1.005t1dollars a. Make a graph of the monthly payments versus the length of the term, in months. Include terms from 12 to 60 months. b. Is the graph increasing or decreasing? What does that mean in practical terms? c. Do you lower your monthly payment more by changing the term of the loan from 12 to 24 months or from 48 to 60 months? Suggestion: you dont need a calculation here. The concavity of the graph can give you the answer.
Manufacturing Cost The manager of a furniture factory finds that it costs $2200 to produce 100 chairs in one day and $4800 to produce 300 chair in or day. (a) Assuming that the relationship between cost and the number of chair’ produced is linear, find a linear function C that models the cost of producing x chair’s in one day. (b) Draw a graph of C. What is the slope of this line? (c) At what rate does the factory’s cost increase for every additional chair produced?
Baking a Potato: A potato is placed in a preheated oven to bake. Its temperature P=P(t) is given by P=400325et/50, Where P is measured in degrees Fahrenheit and t is the time in minutes since the potato was placed in the oven. a. Make a graph of P versus t.Suggestion: in choosing your graphing window, it is reasonable to look at the potato over no more than a 2-hour period. After that, it will surely be burned to a crisp. You may wish to look at a table of values to select a vertical span. b. What was the initial temperature of the potato? c. Did the potatos temperature rise more during the first 30 minutes or second 30 minutes of baking? What was the average rate of change per minute during the first 30 minutes? What was the average rate of change per minute during the second 30 minutes. d. Is this graph concave up or concave down? Explain what that tells you about how the potato heats up, and relate this to part c.. e. The potato will be done when it reaches a temperature of 270 degrees. Approximate the time when the potato will be done. f. What is the temperature of the oven? Explain how you got your answer. Hint: if the potato were left in the oven for a long time, its temperature would match that of the oven.

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