SOLUTION: A driver has something to do with his or her chance of getting into a fatal car crash. The bar graph shows the number of fatal vehicle crashes per 100 million miles driven for dri

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Question 1128518: A driver has something to do with his or her chance of getting into a fatal car crash. The bar graph shows the number of fatal vehicle crashes per 100 million miles driven for drivers of various age groups. For example, 25-year-old drivers are involved in 4.1 fatal crashes per 100 million miles driven. Thus, when a group of 25-year-old Americans have driven a total of 100 million miles, approximately 4 have been in accidents in which someone died. The number of fatal vehicle crashes per 100 million miles, f (x) for drivers of age x can be modeled by the following quadratic function.
f(x)=0.013x^2-1.19x+28.24
What age groups are expected to be involved in 8 fatal crashes per 100 million miles driven?
_______-year-olds
(Round to nearest whole number. Use a comma to separate answers as needed.)
ASAP Please and Thank you in advance!
Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website!
f(x)=0.013x^2-1.19x+28.24
f(x)=8
Therefore, 0.013x^2-1.19x+20.24=0
two solutions
x=(1/0.026)(1.19 +/- sqrt (1.19^2-4(20.24)(0.013)); sqrt (0.36362)=0.603
38.46*(1.793)=68.95 or 69
38.46*(.587)=22.57=23
(23, 69)