SOLUTION: 1. Suppose you are at the gas station filling your tank with gas. The function C(g) represents the cost C of filling up the gas tank with g gallons. Given the equation: C(G)=3.12(G

Algebra ->  College  -> Linear Algebra -> SOLUTION: 1. Suppose you are at the gas station filling your tank with gas. The function C(g) represents the cost C of filling up the gas tank with g gallons. Given the equation: C(G)=3.12(G      Log On


   



Question 389679: 1. Suppose you are at the gas station filling your tank with gas. The function C(g) represents the cost C of filling up the gas tank with g gallons. Given the equation: C(G)=3.12(G)
a) What does the number 3.12 represent?
b) Find C(2)
c) Find C(9)
d) If you were to graph C(g), what values would make up an appropriate domain? Range? Explain your reasoning and remember to include ALL appropriate values.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
C%28g%29+=+3.12%2Ag%0D%0A%28a%29+%7B%7B%7B3.12 is the cost/gallon of gas
(b) C%282%29+=+3.12%2A2
C%282%29+=+6.24
(c) C%289%29+=+3.12%2A9
C%289%29+=+28.08
(d) The domain would be appropriate values
for g, gallons of gas.
You could put 0 gallons in, but you
can't put (-) gallons in.
You can't put in more than the tank holds
So the domain is T+%3E=+g+%3E=0
where T is capacity of tank in gallons
-----------------
The range is all appropriate values of C%28g%29,
The cost of putting g gallons in
C%28g%29+%3E=+0 since Cost is either 0 or (+)
and C%28g%29+%3C=+3.12T
range is 3.12T+%3E=+C%28g%29+%3E=+0