To solve this problem, we need to determine the rate of water flow from the faucet and then use this rate to calculate the amount of water dispensed in 7 seconds.
### Step-by-Step Solution:
1. Determine the rate of water flow:
- We know that 20 gallons are dispensed in 5 seconds.
- To find the rate of flow in gallons per second, we divide the total gallons by the total time.
- Rate of flow = [tex]\(\frac{20 \text{ gallons}}{5 \text{ seconds}} = 4 \text{ gallons per second}\)[/tex].
2. Calculate the amount of water in 7 seconds:
- Now that we know the rate of flow is 4 gallons per second, we can find out how much water is dispensed in 7 seconds.
- Gallons in 7 seconds = rate of flow [tex]\(\times\)[/tex] time in seconds.
- Gallons in 7 seconds = [tex]\(4 \text{ gallons/second} \times 7 \text{ seconds} = 28 \text{ gallons}\)[/tex].
### Conclusion:
- After calculating, we find that the faucet gives 28 gallons of water in 7 seconds.
- Therefore, the closest answer is [tex]\( \boldsymbol{28} \)[/tex].
Answer: Option C. 28
