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Problem 1:

The given rate of gas flow is 8.9 gallons per minute.

Part (a):

How much gas will be dispensed in 0.8 minutes?

The formula for calculating the amount of gas is: $\text{Gas dispensed} = \text{Rate of flow} \times \text{Time}$

Substitute the values: $\text{Gas dispensed} = 8.9 \, \text{gallons/minute} \times 0.8 \, \text{minutes} = 7.12 \, \text{gallons}$

Answer: 7.12 gallons

Part (b):

How much gas will be dispensed in 2.6 minutes?

Using the same formula: $\text{Gas dispensed} = 8.9 \, \text{gallons/minute} \times 2.6 \, \text{minutes} = 23.14 \, \text{gallons}$

Answer: 23.14 gallons

Part (c):

How long will it take for 15 gallons of gas to be dispensed?

The formula for time is: $\text{Time} = \frac{\text{Gas dispensed}}{\text{Rate of flow}}$

Substitute the values: $\text{Time} = \frac{15 \, \text{gallons}}{8.9 \, \text{gallons/minute}} = 1.69 \, \text{minutes}$

Answer: 1.69 minutes

Let me know if you want further explanations or clarifications! Here are 5 related questions to expand your understanding:

1. What would happen if the flow rate were reduced to 7 gallons/minute? How would it change the time for dispensing 15 gallons?
2. How would the formula change if the flow rate varied over time?
3. What is the unit conversion process if the rate is given in gallons/hour instead of gallons/minute?
4. How can you represent these constant rate changes graphically?
5. If the tank has a maximum capacity of 50 gallons, how long would it take to fill it at the given rate?

Tip: Always ensure units are consistent when solving real-world rate problems!