SOLUTION: 7. Let q represent the number of widgets sold each week by a store, p represent the price in dollars of a widget, and D represent the demand. Suppose that the demand function is

Algebra ->  Functions -> SOLUTION: 7. Let q represent the number of widgets sold each week by a store, p represent the price in dollars of a widget, and D represent the demand. Suppose that the demand function is       Log On


   



Question 1199828: 7.
Let q represent the number of widgets sold each week by a store, p represent the price in dollars of a widget, and D represent the demand.
Suppose that the demand function is q=D(p)= 120/square root of p
.
What is the decrease in the demand when p is changed from $9 to $25?

Second question - Let f(x,y)=5y+10x what would be the value of f(6,2)

Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

Problem 1

Plug in p = 9 to find q = D(p)
D%28p%29+=+120%2Fsqrt%28p%29

D%289%29+=+120%2Fsqrt%289%29

D%289%29+=+120%2F3

D%289%29+=+40

Repeat for p = 25

D%28p%29+=+120%2Fsqrt%28p%29

D%2825%29+=+120%2Fsqrt%2825%29

D%2825%29+=+120%2F5

D%2825%29+=+24

The demand goes from 40 to 24, which is a decrease of 16 (since 40-24 = 16).

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Problem 2

The given function is
f(x,y) = 5y+10x

We want to find f(6,2)
Wherever you see 'x', replace it with 6.
Wherever you see 'y', replace it with 2.
Then simplify.

f(x,y) = 5y+10x
f(6,y) = 5y+10*6 ...... replace x with 6
f(6,2) = 5*2+10*6 ...... replace y with 2
f(6,2) = 10+60
f(6,2) = 70