anonymous
  • anonymous
WILL FAN AND MEDAL! need help making a problem Sheldon and Leonard are preparing for their annual trip to Comic-Con, a comic book convention. After careful analysis of route options, and based on traffic patterns, Leonard determines the following: while driving at a constant pace, they will travel 50 miles in the first hour, 255 miles in the next 3 hours, and 120 miles in the next 2 hours. Create a piecewise function representing Leonard and Sheldon’s traveling time and distance.
Algebra
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
if distance =y and time=x
anonymous
  • anonymous
y is distance and x is time?
anonymous
  • anonymous
yes! @satellite73

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More answers

anonymous
  • anonymous
ok then for \(0\leq x\leq 1\) you know \(y=50x\) as distance equals rate times time
anonymous
  • anonymous
what is the rate for the next three hours?
anonymous
  • anonymous
255?
anonymous
  • anonymous
on no that is the total distance for 3 hours to find the rate, divide 255 by 3
anonymous
  • anonymous
85
anonymous
  • anonymous
wow they are going fast
anonymous
  • anonymous
so so far y=50x+85...?
anonymous
  • anonymous
no you are looking for a piecewise function right?
anonymous
  • anonymous
yess..
anonymous
  • anonymous
going to look something like \[y = \left\{\begin{array}{rcc} 50x & \text{if} & 0\leq x\leq 1\\ 50+85x& \text{if} &1
anonymous
  • anonymous
what is the next rate?
anonymous
  • anonymous
120 miles in two hours?
anonymous
  • anonymous
thats divided by 3?
anonymous
  • anonymous
is what divided by three?
anonymous
  • anonymous
would that be 40?
anonymous
  • anonymous
120 miles in two hours?
anonymous
  • anonymous
oh scuse me sorry, 60?
anonymous
  • anonymous
yes
anonymous
  • anonymous
ok now only one more step how far have they gone so far?
anonymous
  • anonymous
for the first four hours that is
anonymous
  • anonymous
425 miles
anonymous
  • anonymous
in all?
anonymous
  • anonymous
no for the first four hours
anonymous
  • anonymous
well for the first hr it says 50
anonymous
  • anonymous
yes and then how far in the next three hours?
anonymous
  • anonymous
305?
anonymous
  • anonymous
yes
anonymous
  • anonymous
so its the equation you wrote down and =305?
anonymous
  • anonymous
\[y = \left\{\begin{array}{rcc} 50x & \text{if} & 0\leq x\leq 1\\ 50+85x& \text{if} &1
anonymous
  • anonymous
thats the piecewise function?

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