Question 476964: A ship travels between two ports. The cost of fuel depends on its speed as follows:
C= $100(ax+ b + 10)
-
x
where x is the average speed of the ship in knots (x > 0) and a and b are constants. If the ship travels at 4 knots the cost of fuel is $9000 but at 6 knots it is $7000.
a)From two linear equations consist of a and b.
b)Find the values of a and b.
c)If it speed is 10 knots, what is the cost of the fuel? Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website!
given:
points (x,C):
(4, 9000)
(6, 7000)
----------
----------
Subtract C(4) from C(6)
-----------------------------------
Plug this back into
So, the equation is:
-------------------------
At 10 knots, the cost of fuel is $3,000
----------------------
Here's a plot where is in knots
and is in thousands of dollars
