Question

The function f(x) = 0.4x² – 36x +1000, models the number of accidents, f(x), per 50 million

miles driven as a function of a driver's age, x, in years, for drivers from ages 16 through 74, inclusive. Use the given function to find and interpret f (50). Interpret means to use a sentence to

state the answer.

Answer 1

`f(50) = 200`

There are 200 accidents per 50 million miles for 50 year old drivers

Explanation:

Given

`f(x) = 0.4x^2 - 36x + 1000`

Required

Determine f(50)

To do this, substitute 50 for x

`f(x) = 0.4x^2 - 36x + 1000`

`f(50) = 0.4 * 50^2 - 36 * 50 + 1000`

`f(50) = 0.4 * 2500 - 1800 + 1000`

`f(50) = 1000 - 1800 + 1000`

`f(50) = 200`

Interpretation: There are 200 accidents per 50 million miles for 50 year old drivers