Answer:
415 units
Step-by-step explanation:
The equation given is:
[tex]p=40-\sqrt{0.01x+1}[/tex]
Where
x is the demand
and
p is the price
They tell us to find demand (x) when price (p) is 37.73
So we plug in 37.73 into "p" and solve for x algebraically.
The process is shown below:
[tex]p=40-\sqrt{0.01x+1} \\37.73=40-\sqrt{0.01x+1} \\\sqrt{0.01x+1}=40-37.73\\\sqrt{0.01x+1}=2.27\\0.01x+1=2.27^2\\0.01x+1=5.1529\\0.01x=4.1529\\x=415.29[/tex]
Rounded to nearest whole number, 415.29 becomes 415
So, around 415 units are demanded per day
