At a gas station a gallon of gasoline costs 3.50$. The relationship between the dollar cost of gasoline and the gallons purchased can be described with a function.
a. Identify the input variable and the output variable in this function.
b. Describe the function with a sentence of the form".
is a function
of
c. Identify an input-output pair of the function and explain its meaning in this
context.
a. The input variable is the number of gallons purchased, while the output variable is the total cost in dollars.
b. The function "c(x) = 3.50x" describes the relationship between the cost of gasoline (c) and the number of gallons purchased (x). In other words, the total cost of gasoline is a function of the number of gallons purchased, with each gallon costing 3.50$.
c. An input-output pair of the function could be (5, 17.50). This means that if 5 gallons of gasoline are purchased, the total cost would be 17.50$.