https://file.aiquickdraw.com/mathbot/file/1725925834967ap7vl6l3.jpg

To solve the problem shown in the image, we need to approach it step by step using proportions:

### Given Information:
- The water rate is $1.35 per 751 gallons of water.

### Part a) Calculate the water bill for 30,000 gallons:

We can set up a proportion based on the given rate:
\[
\frac{1.35}{751} = \frac{\text{Cost for 30,000 gallons}}{30,000}
\]
Now, solve for the cost:
\[
\text{Cost for 30,000 gallons} = \frac{1.35 \times 30,000}{751}
\]

Let me calculate this.The water bill for using 30,000 gallons of water is approximately **$53.93**.

### Part b) How many gallons of water can a customer use if the water bill is not to exceed $120?

We can set up another proportion:
\[
\frac{1.35}{751} = \frac{120}{\text{Gallons used}}
\]
Now, solve for the maximum gallons of water allowed:
\[
\text{Gallons used} = \frac{120 \times 751}{1.35}
\]

I'll calculate that next.The maximum amount of water a customer can use if the bill is not to exceed $120 is approximately **66,756 gallons**.

### Do you have any questions or would you like more details on these calculations?

Here are 5 related questions to consider:
1. How would the water bill change if the rate was $1.50 per 751 gallons?
2. What is the water bill for using 50,000 gallons of water at this rate?
3. How much water can you use if the bill limit is set to $200 instead of $120?
4. If a household uses 20,000 gallons of water, what will be the corresponding bill?
5. How would the proportion change if the water rate increased by 10%?

**Tip:** Always double-check your unit rates in proportional problems, as they are key to setting up accurate calculations.

The water rate for a city in North Carolina is $1.35 per 751 gallons of water used. What is the water bill if a resident of that city uses 30,000 gallons? How many gallons of water can a customer use if the water bill is not to exceed $120?

Learn how to calculate the water bill for 30,000 gallons of water at a rate of $1.35 per 751 gallons using proportions. Also, find out the maximum amount of water usage if the bill should not exceed $120. Suitable for students in Grades 6-8.

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