To calculate how many kilometers Tara will have walked after 9 trips to school using unit rates, we first need to determine the distance she walks per trip.
Given that Tara walked a total of 18 kilometers over 6 trips, we can find the distance per trip (unit rate) as follows:
\[ \text{Distance per trip} = \frac{\text{Total Distance}}{\text{Number of Trips}} = \frac{18 \text{ km}}{6 \text{ trips}} = 3 \text{ km per trip} \]
Now that we know she walks 3 kilometers for each trip, we can calculate the total distance for 9 trips:
\[ \text{Total Distance for 9 trips} = \text{Distance per trip} \times \text{Number of Trips} = 3 \text{ km/trip} \times 9 \text{ trips} = 27 \text{ km} \]
Therefore, after 9 trips to school, Tara will have walked a total of 27 kilometers.
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