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Question
a grade 6 4.8 problem solving: using double number lines and tape diagram
the double number lines below show the number of miles that william walked and the amount of water that he drank wh
use the double number lines to determine the number of liters of water that william drank per mile he walked.
(there are two number lines: one for miles (mi) with marks at 0, 1, 5, 10 and one for liters (l) with marks at 0, 10, 20 and equal intervals between them)
Step1: Identify corresponding points
On the miles number line, 5 miles corresponds to 10 liters on the liters number line (from the double number lines: 5 mi aligns with 10 L, 10 mi aligns with 20 L).
Step2: Calculate rate per mile
To find liters per mile, use the formula $\text{Rate} = \frac{\text{Liters}}{\text{Miles}}$. Using the point where miles = 5 and liters = 10: $\frac{10}{5} = 2$. Or using miles = 10 and liters = 20: $\frac{20}{10} = 2$. So William drank 2 liters per mile.
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