Question

angela started walking in march and kept track of how many miles she walked each month. in april, she walked 8 more miles than in march. in may, she increased the number of miles she walked in april by 50% and walked 42 miles. write an equation to represent this situation.

march: m
april: m + 8
may: 150% of aprils distance = mays distance (42)

(box for equation)

Explanation:

Step1: Define April's distance

Let March's distance be \( m \). April's distance is \( m + 8 \) (since she walked 8 more miles than March).

Step2: Relate May's distance to April's

May's distance is 150% of April's distance, and May's distance is 42. So, 150% of \( (m + 8) \) equals 42. In equation form, \( 1.5(m + 8)=42 \) (or \( \frac{3}{2}(m + 8)=42 \)).

Answer:

\( 1.5(m + 8) = 42 \) (or equivalent like \( \frac{3}{2}(m + 8)=42 \))