Step-by-step explanation:
We need to find the demand so the variable x is unknown.
We know that the variable p is 37.55 so we replace that in the equation
[tex]37.55 = 40 - \sqrt{0.01x + 1} [/tex]
Subtract Property
[tex] - 2.45 = - \sqrt{0.01x + 1} [/tex]
Division Property
[tex]2.45 = \sqrt{0.01x + 1} [/tex]
[tex](2.45) {}^{2} = 0.01x + 1[/tex]
[tex]6.0025 = 0.01x + 1[/tex]
[tex]5.0025 = 0.01x[/tex]
[tex]500.25 = x[/tex]
So the answer is about 500 units per day
