Final Answer:
The true statements about the distance Sal walks are:
B. Sal walks 3.5 km in 1 h.
D. Sal walks 14 km in 4 h.
Step-by-step explanation:
To determine which statements are true about the distance Sal walks, we need to understand that the distance walked is directly proportional to the time spent walking.
Given that the relationship passes through the points (1, 3.5) and (4, 14), we can first find the constant of proportionality (k), which represents the distance Sal walks in 1 hour.
Using the first point (1, 3.5), we can determine k as follows:
k = distance/time
k = 3.5 km/1 h
k = 3.5 km/h
Now that we have the constant of proportionality k, we can use it to check each statement:
A. Sal walks 4 km in 14 h.
Using the constant k, after 14 hours Sal would have walked:
14 h × 3.5 km/h = 49 km
This statement is false.
B. Sal walks 3.5 km in 1 h.
This statement is true because it matches the given point (1, 3.5), which we have already used to calculate k.
C. Sal walks 1 km in 3.5 h.
To check this, we determine how far Sal would walk in 3.5 hours:
3.5 h × 3.5 km/h = 12.25 km
This statement is false because Sal would have walked 12.25 km in 3.5 hours.
D. Sal walks 14 km in 4 h.
Using the constant k, after 4 hours Sal would have walked:
4 h × 3.5 km/h = 14 km
This statement is true because it matches the given point (4, 14).
In conclusion, the true statements about the distance Sal walks are B and D.
Complete question:
Sal is participating in a charity walk. The distance Sal walks, in kilometers, is proportional to the number of hours he spends walking.Which statements are true about the distance Sal walks?Select each correct answer.Sal walks 4 km in 14 h.Sal walks 3.5 km in 1 h.Sal walks 1 km in 3.5 h.Sal walks 14 km in 4 h.Graph titled Distance Walked. The vertical axis is labeled time in hours. The horizontal axis is labeled distance in kilometers. The horizontal x axis ranges from 0 to 10 in increments of 0.5. The vertical y axis ranges from 0 to 10 in increments of 0.5. A line passes through the origin and the points begin ordered pair 1 comma 3.5 end ordered pair and begin ordered pair 4 comma 14 end ordered pair.
Which of the following statements are true about the distance Sal walks? Select each correct answer.
A. Sal walks 4 km in 14 h.
B. Sal walks 3.5 km in 1 h.
C. Sal walks 1 km in 3.5 h.
D. Sal walks 14 km in 4 h.