SOLUTION: For a certain state, the function
f(x)=0.4x2−32x+820
models the number of accidents, f(x), per 50 million miles driven as a function of a driver's age, x, in years, where x
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Question 1121392: For a certain state, the function
f(x)=0.4x2−32x+820
models the number of accidents, f(x), per 50 million miles driven as a function of a driver's age, x, in years, where x includes drivers from ages 16 to 74, inclusive. The graph of f is shown above. Use the equation for f to solve:
a) Find the number of accidents per 50 million miles driven for drivers age 18.
Answer:
accidents per 50 million miles
b) Find the number of accidents per 50 million miles driven for drivers age 50.
Answer:
accidents per 50 million miles
c) For what value of x does the graph have its lowest point? This is the age of drivers with the fewest accidents.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
a. x=18
0.4(324)-576+820=129.6-576+820=373.6 accidents/50 M miles
b. 0.4(2500)-1600+820=220 accidents/50 M miles
c. The x value for the vertex is -b/2a=32/0.8 or 40 years old (180 accidents/50 M miles)
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