SOLUTION: Amtrak's annual passenger revenue for the years 1985-1995 is modeled approximately by the formula R=-60/x-11/+962 where R is the annual revenue in millions of dollars and x is the
Algebra ->
Absolute-value
-> SOLUTION: Amtrak's annual passenger revenue for the years 1985-1995 is modeled approximately by the formula R=-60/x-11/+962 where R is the annual revenue in millions of dollars and x is the
Log On
Question 178650This question is from textbook Algebra for College Students
: Amtrak's annual passenger revenue for the years 1985-1995 is modeled approximately by the formula R=-60/x-11/+962 where R is the annual revenue in millions of dollars and x is the number of years since January 1, 1980 (Association of American Railroads, Washington, DC, Railroad Facts, Statistics of Railroads of Class 1, annual). In what years was the passenger revenue $722 million? This question is from textbook Algebra for College Students
You can put this solution on YOUR website! Amtrak's annual passenger revenue for the years 1985-1995 is modeled approximately by the formula R=-60/x-11/+962 where R is the annual revenue in millions of dollars and x is the number of years since January 1, 1980
:
Assume the equation is:
R = -60|x-11| + 962
:
In what years was the passenger revenue $722 million?
;
Replace R with 722
:
-60|x-11| + 962 = 722
-60|x-11| = 722 - 962
-60|x-11| = -240
:
Remove the absolutes and solve two equation (we will have two solutions):
-60x + 660 = -240
-60x = -240 - 660
-60x = -900
x =
x = +15 years or 1995
and
-60x + 660 = +240
-60x = 240 - 660
-60x = -420
x =
x = +7 years or 1987
