Question

casey and jayden look for animal footprints in the woods. casey finds 18 footprints. casey finds 2 times as many footprints as jayden. how many footprints does jayden find? let f stand for the number of footprints jayden finds. which bar model represents the problem?

Explanation:

Step1: Analyze the relationship

Casey finds 2 times as many footprints as Jayden. Let \( f \) be Jayden's footprints. So Casey's footprints are \( 2f \), and we know Casey has 18 footprints. So the bar model should show Jayden with \( f \) and Casey with \( 2f = 18 \).

Step2: Evaluate each model

• First model: Casey has \( f \), Jayden has \( 2f \) (sum 18) – incorrect, since Casey has more.
• Second model: Jayden has 18, Casey has \( 18 + 18 \) (sum \( f \)) – incorrect.
• Third model: Jayden has \( f \), Casey has \( 2f \) (sum 18) – correct, as Casey's \( 2f = 18 \).
• Fourth model: Jayden has \( 18 + 18 \), Casey has 18 (sum \( f \)) – incorrect.

Answer:

The third bar model (Jayden: \( f \), Casey: \( f \) \( f \), total 18)