SOLUTION: The owner of a sailboat takes passengers to an island 5 miles away. A sailboat averages 9 miles per hour when using sails and about 14 miles per hour when using its motor. a. Wr

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Question 1091184: The owner of a sailboat takes passengers to an island 5 miles away. A sailboat averages 9 miles per hour when using sails and about 14 miles per hour when using its motor.
a. Write an equation that shows the number of minutes the sailboat can use its sails and motor to get to the island.
b. Graph the equation
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
In words:
[ mi/min with sail ] x [ min sailed ] + [ mi/min with motor ] x [ min with motor ] = [ distance traveled ]
Let +x+ = minutes traveled with sail
Let +y+ = minutes traveled with motor
------------------------------------
+9%2F60+=+3%2F20+ mi/min
+14%2F60+=+7%2F30+ mi/min
------------------------------------
+%283%2F20%29%2Ax+%2B+%287%2F30%29%2Ay+=+5+
Multiply both sides by +60+
+9x+%2B+14y+=+300+
+14y+=+-9x+%2B+300+
+y+=+-%289%2F14%29%2Ax+%2B+150%2F7+
-------------------------------
Here's the plot:
+graph%28+400%2C400%2C+-5%2C+50%2C+-5%2C+50%2C+-%289%2F14%29%2Ax+%2B+150%2F7+%29+