4. A pool can hold 850 gallons. It now has 598 gallons of water and is being filled at the rate shown. How many more minutes, \( m \), can water continue to flow into the pool before it overflows? Write and solve an inequality.

To find out how many more minutes water can flow into the pool before it overflows, we start by determining how much more water can be added. The pool can hold 850 gallons, and it currently has 598 gallons. The difference is \( 850 - 598 = 252 \) gallons. Now, if we let \( r \) represent the rate at which water is being filled in gallons per minute, we can set up the inequality for the time \( m \) (in minutes) it can continue to fill: \[ r \cdot m \leq 252 \] To find \( m \), we rearrange the inequality: \[ m \leq \frac{252}{r} \] This tells us that to avoid overflowing the pool, the filling time \( m \) must be less than or equal to \( \frac{252}{r} \). Just plug in the value of \( r \) to find the maximum minutes before the pool overflows! A fun fact about pools: Did you know that the world's largest swimming pool, located in Chile, holds an incredible 66 million gallons of water? You could fill an average family pool about 77 times with that amount! Also, it's interesting to note that water usage varies wildly for different activities. For instance, filling a regular-sized bathtub can use about 36 gallons of water. That means just one bathtub requires almost 1/7 of the total water needed to fill that pool! Water conservation is key, especially during summer!