Final answer:
It will take 5 minutes for the hot tub to have 23 inches of water remaining.
Step-by-step explanation:
To find the number of minutes it will take for the hot tub to have 23 inches of water remaining, we can set up the equation w = 58 - 7m, where w represents the amount of water in inches and m represents the number of minutes. We want to find the value of m when w = 23.
So, we substitute w = 23 into the equation and solve for m: 23 = 58 - 7m.
Subtracting 58 from both sides of the equation gives us: -35 = -7m.
Dividing both sides of the equation by -7 gives us the value of m: m = 5.
Therefore, it will take 5 minutes for the hot tub to have 23 inches of water remaining.