Question

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 fucntion'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.

Answer 1

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)]

Answer 2

thanks