Quadratic projectile

Question

company uses c(x)=-4.5x^2+150x to represent customers and x to represent weeks. how many weeks can the company expect no new customers?

Answer 1

Since the equation represents customers and x represents weeks, the question is asking us to solve for weeks (x) when customers (the equation) is equal to zero.

 

Therefore, we have:

-4.5x² + 150x = 0

2.5x² - 75x = 0

(2.5x - 75)(x + 0) = 0

 

2.5x - 75 = 0

2.5x = 75

x = 75/2.5

x = 30

 

Therefore, the company can expect 30 weeks with no new customers.