the marketing department for a video game company determines that the weekly demand for a new video game…

the marketing department for a video game company determines that the weekly demand for a new video game console can be modeled by the equation 250 = 300 - \\sqrt{0.04n + 1}, where n is the number of consoles sold each week at a price of $250. what is the value of n? select the correct answer. o n = 62,525 o n = 62,475 o n = 6,225 o n = 2,525

the marketing department for a video game company determines that the weekly demand for a new video game console can be modeled by the equation 250 = 300 - \\sqrt{0.04n + 1}, where n is the number of consoles sold each week at a price of $250. what is the value of n? select the correct answer. o n = 62,525 o n = 62,475 o n = 6,225 o n = 2,525

Answer

Explanation:

Step1: Isolate the square - root term

Starting with the equation $250 = 300-\sqrt{0.04n + 1}$, we first move the non - square - root terms to one side. $ \sqrt{0.04n+1}=300 - 250$ $ \sqrt{0.04n+1}=50$

Step2: Square both sides

Squaring both sides of the equation to get rid of the square root. $(\sqrt{0.04n + 1})^2=50^2$ $0.04n+1 = 2500$

Step3: Solve for n

First, subtract 1 from both sides: $0.04n=2500 - 1$ $0.04n=2499$ Then divide both sides by 0.04: $n=\frac{2499}{0.04}=62475$

Answer:

$n = 62475$