anonymous
  • anonymous
A race pilot's average rate of speed over a 720-mile course is inversely proportional to the time in minutes t the pilot takes to fly a complete race course. The pilot's final score s is the average speed minus any penalty points p earned. 1. Write a function to model the pilot's score for a given t and p (Hint: d = rt) 2. Graph the function for a pilot who has two penalty points. 3. What is the maximum time a pilot with 2 penalty points can take to finish the course and still earn a score of at least 3?
Mathematics
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
i really don't understand this, please help
ganeshie8
  • ganeshie8
For part 1, use the given hint. \[d=rt\] notice that we have \(d=720\) here, so \[720=rt \implies r = \dfrac{720}{t}\]
ganeshie8
  • ganeshie8
`The pilot's final score s is the average speed minus any penalty points p earned.` \[s = r - p\] plugin the value of \(r\) above

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ganeshie8
  • ganeshie8
\[s=\dfrac{720}{t}-p\] thats the function for part1
anonymous
  • anonymous
ok thank you, I actually already understood that part
anonymous
  • anonymous
it's number 2 i need help with
ganeshie8
  • ganeshie8
good, for part2, simply plugin \(p=2\) and graph the function
anonymous
  • anonymous
oh, yeah of course
anonymous
  • anonymous
so for part 3 do I just look for the maximum point on the graph?
ganeshie8
  • ganeshie8
nope, for part3, simply plugin \(s=3\) in the function and solve \(t\)
ganeshie8
  • ganeshie8
\[3=\dfrac{720}{t}-2\] solve \(t\)
anonymous
  • anonymous
t=144
anonymous
  • anonymous
so that's the maximum time
ganeshie8
  • ganeshie8
Yes thats the maximum time acceptable anything greater than that will reduce the score
anonymous
  • anonymous
ok, thanks again!
ganeshie8
  • ganeshie8
yw

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