Write an equation and graph an equation that shows the numbers of minutes the sailboat can use its sails and its motor to get to the island.The...

Here want an answer  in   number minutes the time taken by
the boat  in using the boat by the sail and  by the
mototor.

The total distance covered is 5
miles.

The speed of the boat by sail = 9 mile/hour = 9/60
miles per minute.Let x be the distance covered by sail. Since time m1 taken for this is
given by distance / speed per minute = x/(9/60) . Or

m1 =
60x/9 minutes.

m1 = 20x/3
minutes.

The  distance covered by the motor of the sail =
5-x miles. The speed of the boat by motor = 14mile per hour = 14/60 miles per
minute.

So the time m2 in minutes taken by the boat to
cover (5-x) miles of distance = distance / speed per minute =
(5-x)/(14/60)

m2 =
(5-x)*60/14

m2 =
30(5-x)/7

Therefore the number of minutes the boat can use
sail and motor are given by:

m1 = 20x/3...........(1)
minutes and

m2 = 30(5-x)/7......(2) , where  0 < = x
< = 5.

Therefore by eliminating x between eq(1) and
(2), we get the single equation in m1 and m2 :

9*(1)*9 +
14*(2) eliminates x:

9m1 +14m2 =
60x+60(5-x)

9m1+14m2 =
60x+300-60x

9m1+14m2 = 300 is the required equation , where
m1 and m2 are the speeds  per minute of b sail and motor
respectively.