Question

elena walked 12 miles. then she walked 0.25 that distance. how far did she walk all together? select all that apply. (lesson 4-5) a) 12 + 0.25 · 12 b) 12(1 + 0.25) c) 12 · 1.25 d) 12 · 0.25 e) 12 + 0.25

Explanation:

Step1: Analyze the total distance

Elena first walked 12 miles, then she walked 0.25 of that distance (0.25×12). So total distance is initial distance plus the additional distance: \(12 + 0.25\times12\) (matches option A).

Step2: Factor out 12

Using the distributive property, \(12 + 0.25\times12 = 12(1 + 0.25)\) (matches option B).

Step3: Simplify \(1 + 0.25\)

Since \(1 + 0.25 = 1.25\), then \(12(1 + 0.25)=12\times1.25\) (matches option C).

Options D (\(12\times0.25\)) is only the additional distance, not total. Option E (\(12 + 0.25\)) adds 12 miles and 0.25 (not 0.25 miles), so incorrect.

Answer:

A) \(12 + 0.25 \cdot 12\), B) \(12(1 + 0.25)\), C) \(12 \cdot 1.25\)