Answer:
The fataly rate per 100 million vehicle miles driven is approximately for average driver in the 50-54 age group is 0.7.
The fataly rate per 100 million vehicle miles driven is approximately for average driver in the 60-64 age group is 3.3268.
Step-by-step explanation:
The number of fatalities per 100 million vehicle miles driven is approximately given by the following function:
[tex]N(x) = 0.3336x^{3} - 0.118x^{2} + 0.215x + 0.7[/tex]
In which x corresponds to the age group.
What is the fatality rate per 100 million vehicle miles driven for an average driver in the 50-54 age group?
This is N(0), since [tex]x = 0[/tex] represents those aged 50-54.
So:
[tex]N(x) = 0.3336x^{3} - 0.118x^{2} + 0.215x + 0.7[/tex]
[tex]N(0) = 0.7[/tex]
The fataly rate per 100 million vehicle miles driven is approximately for average driver in the 50-54 age group is 0.7.
In the 60-64 age group?
This is N(2), since [tex]x = 2[/tex] represents those aged 60-64.
[tex]N(x) = 0.3336x^{3} - 0.118x^{2} + 0.215x + 0.7[/tex]
[tex]N(2) = 0.3336*2^{3} - 0.118*2^{2} + 0.215(2) + 0.7 = 3.3268[/tex]
The fataly rate per 100 million vehicle miles driven is approximately for average driver in the 60-64 age group is 3.3268.