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Nitella [24]
1 year ago
15

The graph of f is shown. find and interpret f(45).

Mathematics
1 answer:
Ket [755]1 year ago
8 0

The function represents the number of accidents (f(x)) per 50 million miles driven as a function of the driver's age (x).

f(x)=0.4x^2-36x+1000

f(45) indicates that you have to find the value of f(x) when x=45, to do so replace the equation of the function with the value of x and solve for f(x)

\begin{gathered} f(x)=0.4x^2-36x+1000 \\ f(45)=0.4(45)^2-36\cdot45+1000 \\ f(45)=0.4\cdot2025-1620+1000 \\ f(45)=810-1620+1000 \\ f(45)=190 \end{gathered}

For x=45 years f(x)=190

f(45)=190; This value indicates that 45-year-old drivers had 190 accidents per 50 million miles driven.

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