Question

Water Tank A is being filled according to the formula, 3y=750x+300.

Water Tank B is being filled according to the formula, 4y=1000x+400.


The elapsed time is represented by X and the number of gallons is represented by Y If the tanks begin filling at the same time, when will the amount of water in the tanks be equal?

Answer 1

Answer: All the time.

Explanation:

Here,

x= elapsed time

y = number of gallons of water in tank.

For tank A,

3y=750x+300

Divide both sides by 3, we get

y= 250x+100 ...(i)

For tank B,

4y=1000x+400

Divide both sides by 4, we get

y=250+100 ...(ii)

From (i) and (ii) it can be seen that both the function are same.

That means the amount of watre will be same for every value of x, where x ≥0