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.

Question

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

Answer 1

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$.