On a particular day you arrive at a gas station that only se

On a particular day, you arrive at a gas station that only sells regular unleaded fuel, no other options. At your pump, you input exactly 7.870 gallons of gas into your tank and are charged $29.58. You notice your friend is pumping gas at the pump across from you, and they also input exactly 7.870 gallons of gas into their tank and are charged $22.33.

Your job is to explain to the gas station manager why or why not this gas station is fair using mathematical terms such as function, domain, and range.  Consider the following in forming your mathematical explanation to the manager.

What is the domain?

What is the range?

Would this relation represent a function?

Solution

domain is {7.870}, r

ange is {22.33, 29.58},

it can\'t be a function because one number in the domain can\'t have multiple answers in the range. because it doesn\'t represent a function that means that he\'s not charging equally per gallon of gas