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To solve the problem in the image:

We are given that Kim uses **17 gallons of water** every **2 minutes**. This forms a proportional relationship between the shower time (\( t \)) in minutes and the number of gallons (\( g \)) of water used. The rate of water usage is constant.

### Step 1: Identify the constant of proportionality

The constant of proportionality between the time \( t \) (in minutes) and the number of gallons \( g \) of water used can be found by dividing the number of gallons by the time. 

From the given information:
\[
\text{Constant of proportionality} = \frac{g}{t} = \frac{17 \, \text{gallons}}{2 \, \text{minutes}} = 8.5 \, \text{gallons per minute}
\]

### Answer:
The constant of proportionality is **8.5 gallons per minute**.

Would you like further details or clarifications?

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Here are 5 related questions to expand your understanding:
1. How can you express the relationship between time and gallons used as an equation?
2. If Kim spends 10 minutes in the shower, how many gallons of water will she use?
3. How would the constant of proportionality change if she used 20 gallons in 2 minutes?
4. Can you graph the relationship between time \( t \) and water usage \( g \)?
5. What is the inverse of the constant of proportionality, and what does it represent?

### Tip:
In a proportional relationship, the constant of proportionality represents the rate at which one quantity changes with respect to the other.

Kim learned in her science class that every 2 minutes she spends in the shower, she uses 17 gallons of water. This rate is constant. What is the constant of proportionality between time and gallons used?

Learn how to determine the constant of proportionality for water usage during a shower, where Kim uses 17 gallons of water every 2 minutes. This problem demonstrates the use of proportional relationships and rates. Suitable for Grades 6-8.

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