Question11. Anton walked 8.9 miles of his 13.5 -mile goal for this week. Use the equation to find which path Anton should walk so that he meets his goal for the week. \begin{tabular}{|l|c|} \hline \multicolumn{2}{|c|}{ Path Lengths } \\ \hline Meadow Path & 3.2 miles \\ \hline Circle Path & 4.2 miles \\ \hline Oak Tree Path & 4.6 miles \\ \hline \end{tabular}
Studdy Solution
STEP 1
1. Anton's total walking goal for the week is 13.5 miles.
2. Anton has already walked 8.9 miles.
3. We need to find the additional distance Anton needs to walk to meet his goal.
4. The equation represents the situation where is the additional miles Anton needs to walk.
5. We will compare the solution with the given path lengths to determine which path Anton should walk.
STEP 2
1. Define the variable and understand the equation.
2. Solve the equation for .
3. Compare the solution with the given path lengths.
STEP 3
Define the variable and understand the equation.
Let be the additional miles Anton needs to walk. The equation given is:
STEP 4
Solve the equation for .
Subtract 8.9 from both sides to isolate :
Calculate the right side:
STEP 5
Compare the solution with the given path lengths.
The solution matches the length of the Oak Tree Path, which is 4.6 miles.
Therefore, Anton should walk the Oak Tree Path to meet his goal for the week.
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