Answer:
The function that represents the amount of gas in the gas tank is:
y(m) = 10*m
where m is in minutes, and the gallon will be filled when y(m) = 25
25 = 10*m
x = 25/10 = 2.5
so the gas tank will be filled in 2.5 minutes
Then if the tank is completely empty, the domain is {0m, 2.5m}
Now, if the tank is filled by x minutes, the domain will be {x, 2.5}
And we must have that x is a number between 0 and 2.5
The domain of the function that represents the volume of gas y in the tank after x minutes is y = 2.5x.
The domain of a function is the complete set of possible values of the independent variable that the experimenter can plug into the function.
In this case, the domain is the set of x values that can be plugged in.
On the other hand, the range of a function is the set of values that the function assumes when the function produces results after plugging an x value.
The capacity of gas tank = 25-gallons
Rate of filling the gas tank = 10 gallons per minute
The volume of gas in the tank after x minutes = y
Domain, y = (25/10) x
y = 2.5x
Thus, the domain of the function that represents the volume of gas y in the tank after x minutes is y = 2.5x (25/10) x.
Learn more about the domain and range of functions at https://brainly.com/question/10197594
