SOLUTION: Kristi's ride to school is 3 minutes more than 1/2 Brianne's travel time. what graph shows the possible times of Kristi's and Brianne's rides to school?
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Question 824744: Kristi's ride to school is 3 minutes more than 1/2 Brianne's travel time. what graph shows the possible times of Kristi's and Brianne's rides to school?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
They travel the same distance, so
let = the distance for both
Let = Brianne's time in minutes
Let
Brianne's equation:
---------------
By substitution:
--------------------------
compare the slopes of their equations
Suppose min
This says if Kristi's rate of travel is 18,
then Brianne's must be 12
-----------------------
Brianne's rate will always be less than Kristi's
unless Kristi's rate is 2, then Brianne's rate is 4
or Kristi's rate is 3, then Brianne's rate is 4.5
or Kristi's rate is 4, then Brianne's rate is 5
or Kristi's rate is 5, the Brianne's rate is 5.5
If Kristi's rate is 6, then Brianne's rate is 6 also
From that rate on. Brianne's will always be less
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