3. in science class, two students were asked to convert the volume of a liquid from gallons to liters. there…

3. 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.\nstudent a\n374.3 gallons =\n$\frac{1}{x}=\frac{3.8}{374.3}$\n$\frac{3.8x}{3.8}=\frac{374.3}{3.8}$\n$x = 98.5$ liters\nstudent b\n374.3 gallons =\n$\frac{1}{374.3}=\frac{3.8}{x}$\n$x = 3.8(374.3)$\n$x = 1,422.34$ liters

3. 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.\nstudent a\n374.3 gallons =\n$\frac{1}{x}=\frac{3.8}{374.3}$\n$\frac{3.8x}{3.8}=\frac{374.3}{3.8}$\n$x = 98.5$ liters\nstudent b\n374.3 gallons =\n$\frac{1}{374.3}=\frac{3.8}{x}$\n$x = 3.8(374.3)$\n$x = 1,422.34$ liters

Answer

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.