Solve the Problem $y = \frac { 15 } { 2 } x ^ { 2 } - \frac { 25 } { 2 } x + \frac { 325 } { 4 }$

question 89

Multiple Choice

Solve the problem.
-A company has sales (measured in millions of dollars) of 50, 60, and 75 during the first three consecutive years.Find a quadratic function that fits these data, and use the result to predict the sales during the fourth year. Assume that the quadratic function is of the form y = ax² + bx + c

• A) \(y = \frac { 15 } { 2 } x ^ { 2 } - \frac { 25 } { 2 } x + \frac { 325 } { 4 }\); sales during the fourth year \(= \$ 151.25\) million
• B) \(y = 5 x ^ { 2 } + 5 x + 40\); sales during the fourth year \(= \$ 180\) million
• C) \(y = - 5 x ^ { 2 } + 40 x + 15\); sales during the fourth year \(= \$ 95\) million
• D) \(y = \frac { 5 } { 2 } x ^ { 2 } + \frac { 5 } { 2 } x + 45\); sales during the fourth year \(= \$ 95\) million