A scuba diver is 3.8 meters below the surface of the water. He is descending at a rate of 0.5 meters per minute.
2 answers:
Answer:
Step-by-step explanation:
A scuba diver is 3.8 meters below the surface of the water.
So, Depth of scuba driver is - 3.8 m
He is descending at a rate of 0.5 meters per minute.
So, Rate = -0.5 m . min
So,Distance traveled in x minutes = -0.05 x
So, The depth after x minutes = -3.8-0.5x
So, an algebraic expression to describe the depth of the scuba diver after any number of minutes is -3.8-0.5x
The variable x represents the no. of minutes .
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Answer:
Option D.
Step-by-step explanation:
Minimize the objective function P = 5x + 8y for the given constraints.
The related equations of above inequalities are
For ,
x y
0 5
7.5 0
Plot (0,5) and (7.5,0) and join them by straight line.
For ,
x y
0 7.5
5 0
Plot (0,7.5) and (5,0) and join them by straight line.
Check the inequalities for (0,0).
False
False
It means both lines are solid lines and shaded region for each lies opposite side of (0,0).
From the below graph it is clear that the vertices of feasible region are (0,7.5), (3,3), (7.5,0).
Point P = 5x + 8y
(0,7.5) P=5(0)+8(7.5)=60
(3,3) P=5(3)+8(3)=15+24=39
(7.5,0) P=5(7.5)+8(0)=37.5 (Minimum)
So, minimum value is 37.5.
Therefore, the correct option is D.
