https://file.aiquickdraw.com/mathbot/file/1728439129260xfzbc1kw.jpg

The problem describes a family swimming pool that holds 60 cubic meters (\(m^3\)) of water and loses 0.18 cubic meters of water per day due to evaporation. The situation is modeled by the equation:

\[
y - 0.18x = 60
\]

Where:
- \(y\) is the remaining volume of water in the pool (in \(m^3\)) after \(x\) days.
- \(x\) represents the number of days that have passed.

### Solving for an ordered pair:

We can rewrite the equation to express \(y\) explicitly in terms of \(x\):

\[
y = 0.18x + 60
\]

Now, to find an ordered pair solution, we can substitute a specific value for \(x\) and solve for \(y\). For example, let’s find the remaining volume of water after 10 days:

\[
y = 60 - 0.18(10) = 60 - 1.8 = 58.2
\]

Thus, one ordered pair solution is \((10, 58.2)\), meaning that after 10 days, the pool will have 58.2 cubic meters of water left.

### Real-world meaning:
The ordered pair \((10, 58.2)\) indicates that after 10 days of evaporation, 58.2 cubic meters of water will remain in the pool. The 0.18 \(m^3\) represents the daily loss of water due to evaporation.

Would you like more detailed steps or have any questions about this solution?

---

Here are five related questions to expand on this problem:

1. What happens to the water level after 30 days of evaporation?
2. If the pool loses 0.18 \(m^3\) daily, how long will it take for the pool to be half empty?
3. How could you modify the equation if the daily evaporation rate increased to 0.25 \(m^3\)?
4. How much water would be left after 50 days of evaporation?
5. How could you refill the pool to maintain 60 \(m^3\) consistently?

**Tip:** In real-world applications, setting up equations based on given conditions helps model and predict future outcomes effectively.

A family swimming pool holds 60 cubic meters (m³) of water. It loses 0.18 m³ of water to evaporation each day. This situation can be represented by the equation y - 0.18x = 60. Find an ordered pair solution of the equation and explain its real-world meaning.

Learn how to solve a linear equation that models the water evaporation in a family swimming pool. The pool holds 60 m³ of water and loses 0.18 m³ each day. This real-world algebra problem is suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation