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Applied Calculus for the Manageria...

10th Edition
Soo T. Tan
ISBN: 9781285464640

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BuyFindarrow_forward

Applied Calculus for the Manageria...

10th Edition
Soo T. Tan
ISBN: 9781285464640
Textbook Problem

Aging Drivers 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) = 0.0336x3 − 0.118x2 + 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?

To determine
The fatality rate of drivers of age group 50-54 and 85-89 years per 100 million vehicle miles.

Explanation

Given information:

The given function is N(x)=0.0336x30.118x2+0.215x+0.7(0x7)

For the age group of 50-54 the value of x is 0 and the value of x is 7 for the age group of 85-89.

Calculation:

Section1:

The given function is,

N(x)=0.0336x30.118x2+0.215x+0.7 (1)

Substitute 0 for t in the given equation(1) and simplify,

N(x)=0.0336(0)30

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