SOLUTION: 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 525 miles. Answer the following questions based up

Algebra ->  Equations -> SOLUTION: 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 525 miles. Answer the following questions based up      Log On


   



Question 1153072: 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 525 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 = 525:T(r)=


Determine the driving time to reach San Diego if Gonzo and Duke drive 80 miles per hour. Round your answer to one decimal place
If Gonzo and Duke drive 80 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:

Complete the following sentence to explain its significance in this situation.

Answer by MathLover1(20850) About Me  (Show Source):
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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 525 miles. Answer the following questions based upon this situation.
Use the relationship, Distance+=+Rate+%2ATime or
d=rt
to write a rational function T%28r%29 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.
the new equation is:
t=d%2Fr


2. Rewrite your new equation as a function where+t=+T%28r%29 and+d+=+525:
T%28r%29=525mil%2Fr%28mph%29

Determine the driving time to reach San Diego if Gonzo and Duke drive r=80%28mil%2Fh%29 miles per hour. Round your answer to one decimal place

T%28r%29=525mil%2F80%28mil%2Fh%29
T%28r%29=6.5625h

If Gonzo and Duke drive 80 miles per hour, the driving time for the trip will be about
hours.
T%28r%29=6.6h

If it takes Gonzo and Duke 7.5 hours of driving time to reach San Diego, determine how fast they drove.

7.5h=525mil%2Fr
r=525mil%2F7.5h
r=70%28mil%2Fh%29


If it takes Gonzo and Duke 7.5 hours of driving time to reach San Diego, they drove about
miles per hour.
70%28mil%2Fh%29

Give the equation of the vertical asymptote of T%28r%29
Vertical Asymptote:
T%28r%29=525mil%2Fr%28mph%29=%28525%2Fr%29h-> if r-%3E0, vertical asymptote is at r=0