Question

1. in science class, two students were asked to convert the volume of a liquid from gallons to liters. there are approximately 3.8 liters in 1 gallon. which student correctly converted gallons to liters? select one correct answer.

student a
374.3 gallons =
$\frac{1}{x}=\frac{3.8}{374.3}$
$\frac{3.8x}{3.8}=\frac{374.3}{3.8}$
$x = 98.5$ liters
student b
374.3 gallons =
$\frac{1}{374.3}=\frac{3.8}{x}$
$x = 3.8(374.3)$
$x = 1,422.34$ liters

Explanation:

Step1: Set up the conversion ratio

We know that approximately 3.8 liters in 1 gallon. Let \(x\) be the number of liters in 374.3 gallons. The correct proportion is \(\frac{3.8}{1}=\frac{x}{374.3}\).

Step2: Solve for \(x\)

Cross - multiply to get \(x = 3.8\times374.3\).
\[x=3.8\times374.3 = 1422.34\]

Answer:

Student B correctly converted gallons to liters. The volume of 374.3 gallons is 1422.34 liters.