Function word problem

Question

Accident rate-- According to data from the National Highway Traffic Safety Administration, the accident rate as a function of the age of the driver in years x can be approximated by the function f(x) = 0.0232x^2 - 2.28x + 60.0

 

for 16< x < 85. Find both the age at which the accident rate is a minimum and the minimum rate.

Answer 1

f(x) = 0.0232x² - 2.28x + 60.0

The function is an upward opening parabola.

The minimum occurs are the vertex.

The x value is -(-2.28)/2(0.0232), or

2.28 / 0.0464, or

49.137931

 

Can you calculate the minimum rate?