Question

The data above can be modeled by the function f(x) = 0.0425x^2 + 0.07381x - 0.49107 . Using this equation, predict the skid distance for a car that is driving 50 mph.

Answer 1

f(50) = 109.44943 feet

Explanation:

Modeling

The model of a situation where the skid distance f is measured against the car speed x can be expressed as:

`f(x) = 0.0425x^2 + 0.07381x - 0.49107`

Using this equation, we can predict the skid distance for a car that is driving at x=50 mph by substituting in the equation of the model:

`f(50) = 0.0425*50^2 + 0.07381*50 - 0.49107`

`f(50) = 106.25 + 3.6905 - 0.49107`

f(50) = 109.44943 feet