Question

Isabella filled her pool with water at a constant rate.

Answer 1

Answer:

The size of Isabella's pool is 220 liters.

Step-by-step explanation:

Let the size of Isabella's pool be $x$ liters, $R$ be the rate of fill, $t$ be the time of fill and $V$ be the volume of water filled in the pool.

As the rate of fill is constant,

Therefore, volume of water filled in the pool can be given as,

$V= Rt$

Volume of water left is given as $x-V=x-Rt$

From the table,

Volume of water left after $t=2$ minutes is 184 liters.

So, $x-R(2)=184\\x-2R=184$ -------- 1

Volume of water left after $t=12$ minutes is 4 liters.

So, $x-R(12)=4\\x-12R=4$ ------------2

Multiply equation 1 by 6 and equation 2 by -1, we get

$6x-12R=1104\\-x+12R=-4$

Now, we add the above equations, we get

$(6x-x)+(12R-12R)=1104-4\\5x=1100\\x=\frac{1100}{5}=220$

Therefore, the size of Isabella's pool is 220 liters.