Question

The demand for a video game can be modeled by:

Answer 1

415 units

Explanation:

The equation given is:

`p=40-√(0.01x+1)`

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:

`p=40-√(0.01x+1) \\37.73=40-√(0.01x+1) \\√(0.01x+1)=40-37.73\\√(0.01x+1)=2.27\\0.01x+1=2.27^2\\0.01x+1=5.1529\\0.01x=4.1529\\x=415.29`

Rounded to nearest whole number, 415.29 becomes 415

So, around 415 units are demanded per day