Question

advertisement for a fish tank says the volume of the tank is 12 gallons. you want to know the volume of the tank in liters. find this by completing the parts below. (a) let x be the unknown number of liters. using the values below, create a proportion that can be used to find x. use the conversion 1 gallon = 3.8 liters. values: x, 1, 3.8, 12 (b) use the proportion from part (a) to find the volume of the tank in liters. do not round any computations. liters

Explanation:

Step1: Set up the proportion

$\frac{x}{12} = \frac{3.8}{1}$

Step2: Solve for x via cross-multiplication

$x = 12 \times 3.8$

Step3: Calculate the product

$x = 45.6$

Answer:

(a) The completed proportion:

$\boldsymbol{\frac{x}{12} = \frac{3.8}{1}}$

(b) The volume of the tank:

$\boldsymbol{45.6}$ liters