A gas station charges $2.19 per gallon of gas. Use function notation to describe the relationship between the total cost C(g) and the number of gallons purchased g.
C(g) = –2.19g
g = 2.19C(g)
C(g) = g + 2.19
C(g) = 2.19g
Please tell me the explination and the answer.
C(g) = 2.19g
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I think this is correct.
The correct equation to describe the relationship between the total cost C(g) and the number of gallons purchased g is C(g) = 2.19g.
To understand why this is the correct equation, let's break it down:
1. The letter C represents the total cost. This is the dependent variable in the relationship, meaning it depends on the number of gallons purchased.
2. The letter g represents the number of gallons purchased. This is the independent variable in the relationship, meaning it determines the total cost.
3. The value 2.19 is the cost per gallon of gas charged by the gas station.
To find the total cost, you simply multiply the number of gallons by the cost per gallon. In this case, 2.19g represents the total cost of purchasing g gallons of gas.
Therefore, the correct function notation to describe the relationship between the total cost C(g) and the number of gallons purchased g is C(g) = 2.19g.