A sports company conducted a road test of a new model of a geared bike. The test rider cycled (3x − 2) miles on a flat road, (x2
2 answers:
Answer: The total distance for which the bike was tested is
Step-by-step explanation: Given that a sports company conducted a road test of a new model of a geared bike.
The test rider cycled miles on a flat road,
miles uphill and
miles downhill.
We are to find the simplified expression that is equivalent to the total distance, in miles, for which the bike was tested.
The total distance for which the bike was tested is given by
Thus, the total distance for which the bike was tested is
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Answer:
P = 9 is the max value
Step-by-step explanation:
Sketch
2x + 4y = 10
with x- intercept = (5, 0) and y- intercept (0, 2.5)
x + 9y = 12
with x- intercept = (12, 0) and y- intercept = (0, )
Solve
2x + 4y = 10 and x + 9y = 12 to find the point of intersection at (3, 1)
The region corresponding to the solution of the system of constraints
Has vertices at (0, ), (0, 0) , (5, 0) and (3, 1)
Now evaluate the objective function at each vertex.
(0, 0) can be excluded as it will not give a maximum
(5, 0) → P = 5 + 0 = 5
(0, ) → 0 + 8 = 8
(3, 1) → 3 + 6(1) = 3 + 6 = 9 ← maximum value
Thus the maximum value is 9 when x = 3 and y = 1