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 *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}}}. 

 the new equation is:

{{{t=d/r}}}



2. Rewrite your new equation as a function where{{{ t= T(r)}}} and{{{ d = 525}}}:

{{{T(r)=525mil/r(mph)}}}


Determine the driving time to reach San Diego if Gonzo and Duke drive {{{r=80(mil/h)}}} miles per hour. Round your answer to one decimal place


{{{T(r)=525mil/80(mil/h)}}}

{{{T(r)=6.5625h}}}


If Gonzo and Duke drive 80 miles per hour, the driving time for the trip will be about
hours.

{{{T(r)=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/r}}}

{{{r=525mil/7.5h}}}

{{{r=70(mil/h)}}}



If it takes Gonzo and Duke 7.5 hours of driving time to reach San Diego, they drove about
miles per hour.

{{{70(mil/h)}}}


Give the equation of the vertical asymptote of {{{T(r)}}}

Vertical Asymptote:

{{{T(r)=525mil/r(mph)=(525/r)h}}}-> if {{{r->0}}}, vertical asymptote is at {{{r=0}}}