Kyle is filling a 25-gallon gas tank at a rate of 10 gallons per minute. What is the domain of the function that represents the volume of gas y in the tank after x minutes?

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

in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

hope it