Sal is participating in a charity walk. The distance Sal walks, in kilometers, is proportional to the number of hours he spends walking.

Question

Which statements are true about the distance Sal walks?

Select each correct answer.

Responses

Sal walks 3.5 km in 1 h.
Sal walks 3.5 km in 1 h.

Sal walks 1 km in 3.5 h.
Sal walks 1 km in 3.5 h.

Sal walks 4 km in 14 h.
Sal walks 4 km in 14 h.

Sal walks 14 km in 4 h. (4, 14) (1 ,3,5)

Answer 1

To determine which statements are true about the distance Sal walks, we need to consider the proportional relationship between distance and time. If Sal walks \( D \) kilometers in \( T \) hours, we can express this as \( D = kT \), where \( k \) is a constant that represents the distance Sal walks per hour.

Let's analyze the statements one by one:

1. Sal walks 3.5 km in 1 h.

   • This implies that \( k = 3.5 \). This statement is true.

2. Sal walks 1 km in 3.5 h.

   • If \( k = 3.5 \) km in 1 h, then in 3.5 h, Sal would walk \( 3.5 \times 3.5 = 12.25 \) km, not 1 km. This statement is false.

3. Sal walks 4 km in 14 h.

   • If we use \( k = 3.5 \), in 14 hours he would walk \( 3.5 \times 14 = 49 \) km. This statement is false.

4. Sal walks 14 km in 4 h.

   • If \( k = 3.5 \), in 4 hours he would walk \( 3.5 \times 4 = 14 \) km. This statement is true.

Based on the analysis:

• True statements:

  • Sal walks 3.5 km in 1 h.
  • Sal walks 14 km in 4 h.

• False statements:

  • Sal walks 1 km in 3.5 h.
  • Sal walks 4 km in 14 h.