Hello everybody,
Just needed some help on this problem.
Write the Function C(x) which is the annual cost of fuel for your vehicle as a function of the miles per gallon X. (Do not use a specific number for miles per gallon for X here)
cost of fuel = 3.98
car gets 27.5 on average.
So far all I can think of is C(x) = 3.98x then I'm lost. Any help would be appreciated. Thanks.
Well the next problem is
Find the derivative function dC
dx
then the next problem is
Complete the following table:
x 10 15 20 25 30 35 40
c
dC/dx
I guess my question is. The derivative of .14472x is .14472 so how would I even work that into the next problem which is that table?
Also the first problem says: write the function C(x) which is the annual cost of fuel for your vehicle. So through the function C(x) = .14472x how would I even find the annual cost of fuel? The average miles I drive a year is 14,000 so would that have any play in this equation?
If I found the derivative of that function C(x)= 55720/x my answer would come out to
-55720/x^2 is that correct? Just need a double check.
Also how would I start on that table posted above?
btw thanks for your help. =)
Also I started plugging in the numbers for the table above and the dC/dx values are coming out negative. What does this mean?
exactly right. Good job-55720/x^2 is that correct? Just need a double check.
This means that when you increase the miles per gallon, it costs less. Whenever the derivative is negative it means that increasing your input decreases the value of the function.Also I started plugging in the numbers for the table above and the dC/dx values are coming out negative. What does this mean?