Question

isabel used 22 quarts of gasoline on a road trip. she wants to know how much gasoline was used in gallons.
(a) create a double number line that shows 22 quarts in gallons. use the fact that 4 quarts = 1 gallon.
(b) how much gasoline was used in gallons?
square gallons

Explanation:

Step1: Set up conversion factor

We know $4 \text{ quarts} = 1 \text{ gallon}$, so the conversion factor is $\frac{1 \text{ gallon}}{4 \text{ quarts}}$.

Step2: Convert quarts to gallons

Multiply the given quarts by the conversion factor:
$22 \text{ quarts} \times \frac{1 \text{ gallon}}{4 \text{ quarts}} = \frac{22}{4} = 5.5 \text{ gallons}$
For the double number line:

• Top line (quarts): Mark 0 at the left, then mark 22 at the right end of the blue segment.
• Bottom line (gallons): Mark 0 at the left, then mark 5.5 directly below the 22 on the top line.

Answer:

(a) Double number line:
Top (quarts): Left box = 0, Right box = 22
Bottom (gallons): Left box = 0, Right box = 5.5
(b) $5.5$ gallons