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Question 1065695: The number of fatalities due to car crashes, based on the number of miles driven, begins to climb after the driver is past age 65. Aside from declining ability as one ages, the older driver is more fragile. The number of fatalities per 100 million vehicle miles driven is approximately
N(x) = 0.0336x^3 − 0.118x^2 + 0.215x + 0.7 (0 ≤ x ≤ 7)
where x denotes the age group of drivers, with x = 0 corresponding to those aged 50-54, x = 1 corresponding to those aged 55-59, x = 2 corresponding to those aged 60-64, . . . , and x = 7 corresponding to those aged 85-89. What is the fatality rate per 100 million vehicle miles driven for an average driver in the 50-54 age group? In the 85-89 age group?†
50-54 ??? fatalities/100 million mile
85-89 ??? fatalities/100 million mile
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! N(x) = 0.0336x^3 − 0.118x^2 + 0.215x + 0.7 (0 ≤ x ≤ 7). x=0 for 50-54
N(0)=0.7, because all the x s are 0.
At 85-89, x=7
n(7)=343(0.0336)-0.118(49)+0.215(7)+0.7=7.9478=7.9
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