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The question in the image asks:

"The constant of proportionality between the height of the water in a sink (h) in centimeters and the number of minutes it has been filling (m) is 0.95. The sink has been filling for 40 minutes. What is the height of the water in the sink?"

We are given:
- Constant of proportionality \( k = 0.95 \) cm/min
- Time \( m = 40 \) minutes

To solve for the height \( h \), we use the proportionality relationship:

\[
h = k \times m
\]

Substitute the values into the equation:

\[
h = 0.95 \times 40 = 38 \, \text{cm}
\]

So, the height of the water in the sink is **38 centimeters**.

Would you like further details or clarifications? 

Here are 5 related questions to think about:
1. What if the time was 50 minutes instead of 40 minutes?
2. How would the height change if the constant of proportionality was 1.2?
3. Can you write a general formula for any time \( m \) and constant \( k \)?
4. How would you graph the relationship between time and water height?
5. What unit conversion would be needed if the question asked for height in meters?

**Tip:** In proportional relationships, the constant of proportionality is the rate at which one quantity changes in relation to another.

The constant of proportionality between the height of the water in a sink (h) in centimeters and the number of minutes it has been filling (m) is 0.95. The sink has been filling for 40 minutes. What is the height of the water in the sink?

Learn how to calculate the height of water in a sink using the concept of proportionality. Given a constant of proportionality of 0.95 and a filling time of 40 minutes, this problem demonstrates how to find the height of the water using a simple linear relationship. Suitable for students in Grades 6-8.

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