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info@snapandsolve.comAnswer: Since the relationship is directly proportional, we can set up a proportion to solve for the number of trips needed to walk 18 kilometers.
Let x be the number of trips needed for 18 kilometers.
\( \frac{12 \text{ km}}{6 \text{ trips}} = \frac{18 \text{ km}}{x \text{ trips}} \)
Cross-multiply to solve for x:
\( 12x = 18 \times 6 \)
\( 12x = 108 \)
\( x = \frac{108}{12} \)
\( x = 9 \)
Terrence will need to make 9 trips to walk a total of 18 kilometers.
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