Once you know how many cubic inches per minute the pump moves, use $1\text{ liter} = 61.0\text{ cubic inches}$. Should you multiply by 61.0 or divide by 61.0 to change from cubic inches to liters?

After converting to liters per minute, your result may not match an option exactly. Which choice is closest to your computed value?

In Desmos, type the expression 500*60/61 to represent $500\text{ in}^3/\text{s}$ converted to cubic inches per minute (multiply by 60) and then to liters per minute (divide by 61). Look at the numerical result and then choose the answer option that is closest to that value.

We start with a rate of $500\text{ cubic inches per second}$. We need to end with liters per minute.

So we must:

• Change seconds to minutes.
• Change cubic inches to liters using $1\text{ liter}=61.0\text{ cubic inches}$.

We will set this up so that units cancel step by step.

There are $60$ seconds in $1$ minute.

So convert $500\text{ cubic inches per second}$ to a per-minute rate:

Now the pump transfers $30{,}000$ cubic inches of water each minute.

Use the given conversion $1\text{ liter} = 61.0\text{ cubic inches}$.

To change $30{,}000\text{ in}^3$ per minute into liters per minute, divide by $61.0$ (because each liter takes up $61.0\text{ in}^3$):

Now compute $30{,}000 \div 61.0$ to get the rate in liters per minute.

Compute the division:

This is closest to 490, so the correct answer choice is C) 490.