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Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 33E
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ACTIVITY 3 NAME 1) A 1200-gallon tank initially contains 100 gallons of oil. A pump is filling the tank at a rate of 8 gallons per minute. a) Write a formula for the linear function f (x) that models the number of gallons of oil in the tank after x minutes. b) Identify the y-intercept and interpret it. c) Does the x-intercept of this function have any meaning in this problem? Explain! d) Graph your function. Be accurate and label the axes. (Hint: The tank will only hold 1200 gallons, so at what time will the tank be full?) e) What is the relevant omain for f(x)? f) What is the relevant range for f(x)?
Transcribed Image Text:ACTIVITY 3 NAME 1) A 1200-gallon tank initially contains 100 gallons of oil. A pump is filling the tank at a rate of 8 gallons per minute. a) Write a formula for the linear function f (x) that models the number of gallons of oil in the tank after x minutes. b) Identify the y-intercept and interpret it. c) Does the x-intercept of this function have any meaning in this problem? Explain! d) Graph your function. Be accurate and label the axes. (Hint: The tank will only hold 1200 gallons, so at what time will the tank be full?) e) What is the relevant omain for f(x)? f) What is the relevant range for f(x)?
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