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Evaluating and Solving Rational Functions Gonzo and his friend Duke are heading out to San Diego on a road trip. From Gonzo's front door to downtown San Diego, the trip is 600 miles. Answer the following questions based upon this situation. Use the relationship, Distance = Rate times Time or d = rt, to write a rational function T(r) that has the rate of travel, r (in mph), as its input and the time of travel (in hours) as its output. 1. Solve the equation d = rt for t. What is the new equation? 2. Rewrite your new equation as a function where t = T(r) and d = 600: %3D T(r) = Determine the driving time to reach San Diego if Gonzo and Duke drive 85 miles per hour. Round your answer to one decimal place If Gonzo and Duke drive 85 miles per hour, the driving time for the trip will be about hours. If it takes Gonzo and Duke 7.5 hours of driving time to reach San Diego, determine how fast they drove. If it takes Gonzo and Duke 7.5 hours of driving time to reach San Diego, they drove about miles per hour. Give the equation of the vertical asymptote of T(r) Vertical Asymptote:

Evaluating and Solving Rational Functions Gonzo and his friend Duke are heading out to San Diego on a road trip. From Gonzo's front door to downtown San Diego, the trip is 600 miles. Answer the following questions based upon this situation. Use the relationship, Distance = Rate times Time or d = rt, to write a rational function T(r) that has the rate of travel, r (in mph), as its input and the time of travel (in hours) as its output. 1. Solve the equation d = rt for t. What is the new equation? 2. Rewrite your new equation as a function where t = T(r) and d = 600: %3D T(r) = Determine the driving time to reach San Diego if Gonzo and Duke drive 85 miles per hour. Round your answer to one decimal place If Gonzo and Duke drive 85 miles per hour, the driving time for the trip will be about hours. If it takes Gonzo and Duke 7.5 hours of driving time to reach San Diego, determine how fast they drove. If it takes Gonzo and Duke 7.5 hours of driving time to reach San Diego, they drove about miles per hour. Give the equation of the vertical asymptote of T(r) Vertical Asymptote:

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.2: Linear Functions And Applications
Problem 31PS
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Evaluating and Solving Rational Functions Gonzo and his friend Duke are heading out to San Diego on a road trip. From Gonzo's front door to downtown San Diego, the trip is 600 miles. Answer the following questions based upon this situation. Use the relationship, Distance = Rate times Time or d = rt, to write a rational function T(r) that has the rate of travel, r (in mph), as its input and the time of travel (in hours) as its output. 1. Solve the equation d = rt for t. What is the new equation? 2. Rewrite your new equation as a function where t = T(r) and d = 600: %3D T(r) = Determine the driving time to reach San Diego if Gonzo and Duke drive 85 miles per hour. Round your answer to one decimal place If Gonzo and Duke drive 85 miles per hour, the driving time for the trip will be about hours. If it takes Gonzo and Duke 7.5 hours of driving time to reach San Diego, determine how fast they drove. If it takes Gonzo and Duke 7.5 hours of driving time to reach San Diego, they drove about miles per hour. Give the equation of the vertical asymptote of T(r) Vertical Asymptote:
Transcribed Image Text:Evaluating and Solving Rational Functions Gonzo and his friend Duke are heading out to San Diego on a road trip. From Gonzo's front door to downtown San Diego, the trip is 600 miles. Answer the following questions based upon this situation. Use the relationship, Distance = Rate times Time or d = rt, to write a rational function T(r) that has the rate of travel, r (in mph), as its input and the time of travel (in hours) as its output. 1. Solve the equation d = rt for t. What is the new equation? 2. Rewrite your new equation as a function where t = T(r) and d = 600: %3D T(r) = Determine the driving time to reach San Diego if Gonzo and Duke drive 85 miles per hour. Round your answer to one decimal place If Gonzo and Duke drive 85 miles per hour, the driving time for the trip will be about hours. If it takes Gonzo and Duke 7.5 hours of driving time to reach San Diego, determine how fast they drove. If it takes Gonzo and Duke 7.5 hours of driving time to reach San Diego, they drove about miles per hour. Give the equation of the vertical asymptote of T(r) Vertical Asymptote:
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