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Christine walked a total of 3.2 kilometers by making 6 trips to school.After 15 trips to school, how many kilometers will Christine have walked in total?Solve using unit rates.

User Tentmaking
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If we use unit rates, we can calculate the unit rate for the kilometers per trip as:


u=\frac{3.2\operatorname{km}}{6\text{ trips}}\approx0.5333\frac{\operatorname{km}}{\text{trip}}

Then, for 15 trips, we can calculate the kilometers as:


D=n\cdot u=15\text{ trips}\cdot0.5333\frac{\operatorname{km}}{\text{trip}}=7.9995\operatorname{km}\approx8\operatorname{km}

Answer: After 15 trips, she has walked 8 km.

Alternative approach (not using unit rates):

We can apply the rule of three to solve this problem.

We know that 6 trips correspond to 3.2 km.

Then, 15 trips will correspond to:


\begin{gathered} 6\text{ trips}\longrightarrow3.2\operatorname{km} \\ 15\text{ trips}\longrightarrow x=15\text{ trips}\cdot\frac{3.2\operatorname{km}}{6\text{ trips}}=8\operatorname{km} \end{gathered}
User Hans Beemsterboer
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