suppose you are at the gas station filing your tank with gas. the function

C(g) represents the cost C of filling up the gas tank with g gallons give the equation: C(g)=3.03(g)

A)what does the number 3.03 represent?
B)find C(2)
C)find C (9)
D) for the average motorist, name one value for g that would be inappropriate for this ntion's puprpose.Explain why you chose the number you did.
E)if you were to graph C(g), what would be an appropriate domain?Range? Explain your reasoning.

A) For every g gallon you add, the cost increases by 3.03. Therefore, $3.03 is the cost per gallon.

B) C(2) = 3.03(2)
C(2) = $6.06

C) C(9) = 3.03(9)
C(9) = 27.27

D) A negative number would be inappropriate - you cannot fill your tank with negative gallons of gas.

E) Assuming you cannot fill up your tank with negative gas, x must be greater than or equal to 0.

The context of the problem - filling up your car with gas - implies an upper limit: the volume of your gas tank.

let V = the volume of your gas tank.

The domain would be [0, V] - you can fill your tank up with 0 gallons, to V (anymore you would be overflowing).

The range is therefore [C(0), C(V)] = [0, C(V)]

thanks

A) In the given equation C(g) = 3.03(g), the number 3.03 represents the cost per gallon of gas. It indicates the amount of money required to fill one gallon of gas in the tank.

B) To find C(2), we substitute 2 for g in the equation C(g) = 3.03(g):
C(2) = 3.03(2) = 6.06
Therefore, the cost of filling up 2 gallons of gas is $6.06.

C) To find C(9), we substitute 9 for g in the equation C(g) = 3.03(g):
C(9) = 3.03(9) = 27.27
Therefore, the cost of filling up 9 gallons of gas is $27.27.

D) For the purpose of this function, a value of g that would be inappropriate for the average motorist is a negative value. Since the function represents the cost of filling up the gas tank, negative values for g (representing negative gallons) do not make sense realistically. In the context of the gas tank, it is not possible to have negative gallons.

E) If you were to graph C(g), the appropriate domain would be any non-negative real numbers, including zero. This is because the function's purpose is to represent the cost of filling up the gas tank, and the number of gallons can neither be negative nor imaginary. The range would be any non-negative real numbers as well, as the cost of filling up the tank cannot be negative.