SOLUTION: 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)=3.03(g)

Question 164191: 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)=3.03(g)

Find C(2)
Find C(9)

I have solved as...
C(2)=3.03(g)
C*2-3.03*g=0
is this correct?

C(9)...
C(9)=3.03(g)
c*9-3.03*g=0
Is this correct?

Found 2 solutions by aka042, marcsam823:
Answer by aka042(26) (Show Source): You can put this solution on YOUR website!
Hi-
Whenever we are given a function C(g) and g = some number n, this means that we plug the number n wherever g appears in the equation.

So for your first problem, find C(2), we simply plug 2 into the C(g) equation whereever g is. Since C(g) = 3.03*g, then C(2) = 3.03*2 = 6.06. So C(2) = 6.06.

For the next problem, C(9) we plug 9 into g to get C(9) = 3.03 * 9 = 27.27. So C(9) = 27.27

I think you may be confusing C(g) to mean C * g. Note that when we are writing a function C(g), then C(g) is said C OF g, not C times 6. It may be a little confusing, but C is actually the name of the function, not a variable. So you don't multiply C with anything!
Answer by marcsam823(57) (Show Source): You can put this solution on YOUR website!
The problem that is presented here is asking you to determine the total cost of the gasoline by plugging in a value for the given variable: number of gallons (g).
When you see a problem in the form:
C(g) = 3.03 * g
The left side of the problem represents the notation for a function. In this function you are asked to calculate the total cost of 2 gallons of gas and 9 gallons of gas if the cost per gallon is $3.03.

In other words calculate for g = 2 and g = 9.
Problem 1:
C(2) = 3.03 * 2
C(2) = 6.06
Problem 2:
C(9) = 3.03 * 9
C(9) = 27.27
The number in the parentheses is simply a convenient place to store the value for "g" while you are plugging into the right hand side of th equation. No need to add or subtract it!
RELATED QUESTIONS
1. Suppose you are at the gas station filling your tank with gas. The function C(g)... (answered by richwmiller)
Please help me Suppose you are at the gas station filling your tank with gas. The... (answered by rfer)
Imagine you are at a gas station filling your tank with gas. The function C(g) represents (answered by jim_thompson5910)
1. Imagine you are at a gas station filling your tank with gas. The function C(g)... (answered by KMST)
1. Suppose you are at the gas station filling your tank with gas. The function C(g)... (answered by josmiceli)
1. Suppose you are at the gas station filling your tank with gas. The function C(g)... (answered by richard1234)
Imagine you are at a gas station filling your tank with gas. The function C(g) represents (answered by Earlsdon)
Imagine you are at a gas station filling your tank with gas. The function C(g) represents (answered by jim_thompson5910)
Imagine you are at a gas station filling your tank with gas. The function C(g) represents (answered by solver91311,jim_thompson5910)