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Amtrak's annual passenger revenue for the years 1985-1995 is modeled approximately by the formulaR= 60 x 11| +962after 1980. In what year was the passenger revenue $722 million? In the years_ and _, the passengers revenue was $722 million.

Amtraks annual passenger revenue for the years 19851995 is modeled approximately by the formulaR 60 x 11 962after 1980 In what year was the passenger revenue 72 class=

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Solution:

Given the model of the revenue, R, such that;

[tex]\begin{gathered} R=-60|x-11|+962 \\ \\ x=\text{ number of years after 1980} \end{gathered}[/tex]

When the revenue is $722 million;

[tex]\begin{gathered} R=722 \\ \\ 722=-60|x-11|+962 \end{gathered}[/tex]

Now, we would solve for x;

[tex]\begin{gathered} 60|x-11|=962-722 \\ \\ 60|x-11|=240 \\ \\ |x-11|=\frac{240}{60} \\ \\ |x-11|=4 \end{gathered}[/tex]

Now, apply the absolute rule;

[tex]\begin{gathered} x-11=4,x-11=-4 \\ \\ x=15,x=7 \end{gathered}[/tex]

Thus, in the years 1987 and 1995, the passenger revenue was $722 million.

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