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The function f(x) = 0.4x² – 36x +1000, models the number of accidents, f(x), per 50 million

miles driven as a function of a driver's age, x, in years, for drivers from ages 16 through 74, inclusive. Use the given function to find and interpret f (50). Interpret means to use a sentence to

state the answer.

Respuesta :

MrRoyal

Answer:

[tex]f(50) = 200[/tex]

There are 200 accidents per 50 million miles for 50 year old drivers

Step-by-step explanation:

Given

[tex]f(x) = 0.4x^2 - 36x + 1000[/tex]

Required

Determine f(50)

To do this, substitute 50 for x

[tex]f(x) = 0.4x^2 - 36x + 1000[/tex]

[tex]f(50) = 0.4 * 50^2 - 36 * 50 + 1000[/tex]

[tex]f(50) = 0.4 * 2500 - 1800 + 1000[/tex]

[tex]f(50) = 1000 - 1800 + 1000[/tex]

[tex]f(50) = 200[/tex]

Interpretation: There are 200 accidents per 50 million miles for 50 year old drivers

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