Question

a) at a particular gas station, the cost of a gallon of gas, in dollars, is a function of its octane. explain the meaning of f(87).
b) when john is driving to school, the distance traveled, in miles, is a function of time, in minutes. explain the meaning of s(25).
a) choose the correct answer below
a. f(87) is f times the cost of a gallon of gas, in dollars.
b. f(87) is the cost, in dollars, of one gallon of 87 - octane gasoline.
c. 87 is the cost, in dollars, of one gallon of f(87)-octane gasoline.
d. f(87) is f times 87 - octane gasoline.

Explanation:

a) Since the cost of a gallon of gas is a function of its octane, when we have f(87), it means we are inputting an octane - level of 87 into the cost - function f. So f(87) represents the cost, in dollars, of one gallon of 87 - octane gasoline.
b) The distance traveled s is a function of time t. When we have s(25), it means we are inputting a time value of 25 minutes into the distance - function s. So s(25) represents the distance, in miles, that John has traveled in 25 minutes.

Answer:

a) B. f(87) is the cost, in dollars, of one gallon of 87 - octane gasoline.
b) s(25) is the distance, in miles, that John has traveled in 25 minutes.