Answer:
Step-by-step explanation:
40/100 musicians .75*40= 30
30 is to 100
as 38 is to x
30 38
---- = ------ Cross multiply
100 x
30x=3800
divide by three to get
126 and 2/3
you can't split people, so it would be closer to about 127 students.
The area of the garden enclosed by the fencing is
A(x, y) = xy
and is constrained by its perimeter,
P = x + 2y = 200
Solve for x in the constraint equation:
x = 200 - 2y
Substitute this into the area function to get a function of one variable:
A(200 - 2y, y) = A(y) = 200y - 2y²
Differentiate A with respect to y :
dA/dy = 200 - 4y
Find the critical points of A :
200 - 4y = 0 ⇒ 4y = 200 ⇒ y = 50
Compute the second derivative of A:
d²A/dy² = -4 < 0
Since the second derivative is always negative, the critical point is a local maximum.
If y = 50, then x = 200 - 2•50 = 100. So the farmer can maximize the garden area by building a (100 ft) × (50 ft) fence.
The answer would be D because every year you are subtracting .5 because in the equation it says -.5 which means it it decreasing. hope this helps
