There are 10 gallons of water in a tank. each minute, 4 more gallons are added. the volume of the water in a tank after t minutes is v (gallons). what is the formula for the dependence of v on t (t≤10)?

V = 10 + 4t

Step-by-step explanation:

Your V is your total volume. That's what you are looking for. V changes depending on t, the amount of minutes passed.

You have a constant variable given: 4 gallons per minute (t). You can express this with "4t" (4 × t).

You begin with 10 gallons and add the above.

This results in 10+4t = V at any given time.

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1