Systems
of Linear Equations
can be used
to compare
cost
functions
and models.
There are two car rental companies, Benner Rentals and Lindsay’s
Travel. Benner Rentals charges $50.00, plus $0.10 per mile. Lindsay’s
Travel charges $20.00, plus $0.25 per mile.
An
example of this
would be an
investigation
into finding
the cheapest
car rental agency
for a vacation.
If you were taking a trip that covered 50 miles, which company would
be more economical to use?
Benner
Rentals: y=.10x +
50
(.10 x 50) + 50 = 55
$55.00 |
Lindsay's
Travel: y
= .25x
+ 20
(.25 x 50)
+ 20 = 32.5
$32.50 |
You would
use lindsay's
Travel!
|
At what mileage would the two companies cost the same amount? (use
the table or graph)
When the mileage
(distance traveled)
is 200 miles,
both companies
would charge
the amount of
$70.00 total.
Using this information and your expected mileage, you could determine
which agency to use.
Benner
: more than
200 miles |
Lindsay:
less than
200 miles |
|
