18. Given 3/785 liters = 1 gallon, how many liters are in 7.5 gallons? Round to the nearest hundredth.

Answer: B

Explanation:

7.5 gallons is approximately 2.89 liters.

To find out how many liters are in 7.5 gallons, we can use the conversion factor that 3/785 liters equals 1 gallon. This means that 7.5 gallons is equal to approximately 2.89 liters when calculated and rounded to the nearest hundredth.

A) 3.72

This option is incorrect as it overestimates the number of liters in 7.5 gallons. Given the conversion rate, 7.5 gallons should yield a significantly lower value than 3.72 liters.

B) 2.89

This option is correct. By calculating the liters in 7.5 gallons using the conversion factor of 3/785 liters per gallon, the result rounds to approximately 2.89 liters, which aligns with the correct conversion.

C) 1.12

This choice is incorrect because it underestimates the conversion from gallons to liters. Using the provided conversion factor, 7.5 gallons should yield a result much higher than 1.12 liters.

D) 1.98

This option is also incorrect as it does not accurately reflect the conversion from gallons to liters. The calculation clearly shows that 7.5 gallons results in a value above 1.98 liters.

Conclusion

The correct answer is 2.89 liters, as it is derived directly from the provided conversion factor. All other options fail to accurately represent the conversion, either by overestimating or underestimating the quantity of liters in 7.5 gallons. Thus, option B is definitively the right choice.