A company has determined that its weekly profit is a function of the number of items that it sells. Which equation could represent the weekly profit in thousands of dollars, y, when the company sells x items?
Answers
Given : A company has determined that its weekly profit is a function of the number of items that it sells. company sells x items?
To Find : Which equation could represent the weekly profit in thousands of dollars,
A. y^2=4x^2-100
B. y= -x^2+50x-300
C.x= -y^2+60y-400
D.x^2=-6y^2+200
Solution :
Weekly profit = y is function of items sold x
=> y = f(x)
Option A
y²=4x² - 100
one thing is its square of y also
its not defined for 4x² - 100 < 0
Hence this can not be the equation
Option B
y= -x²+50x-300
y = f(x)
Here y is a function of x
Hence equation could represent the weekly profit in thousands of dollars, y
option C.
x= -y^2+60y-400
this is x = f(y) not y = f(x)
Hence this can not be the equation
option D.
x² = -6y^2+200
this is not y=f(x)
also this function is also not defined when x² - 200 > 0
Option B
y= -x²+50x-300
equation could represent the weekly profit in thousands of dollars, y, when the company sells x items
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