Answer:
No
Step-by-step explanation:
The time it takes Timothy to drive to his friends' houses is not proportional. This is because when going to the first house, he is going at 4km per minute, but when visiting the second and third houses he is no longer traveling at that speed.
In a directly proportional relationship, increasing one variable will increase another. The given relationship is not proportional.
In a directly proportional relationship, increasing one variable will increase another.
This directly proportional relationship between p and q is written as
p∝q where that middle sign is the sign of proportionality.
Inversely proportional relationship increasing one variable will decrease the other variable if both are inversely proportional.
This directly proportional relationship between p and q is written as
p∝1/q where that middle sign is the sign of proportionality.
Given that the table shows the distance and time it takes him to drive to each of his friends’ houses.
Now, to know if the time it takes Timothy to drive to his friends’ houses proportional to the distance, find the ratio of distance to time for each row. Therefore, the ratios can be written as,
R₁ = 5km / 10 min = 0.5 km per min
R₂ = 11 km / 15 min = 0.7334 km per min
R₃ = 18 km / 20 min = 0.9 km per min
Since the ratio of distance and time in different cases is different, therefore, the given relationship is not proportional.
Learn more about Directly and Inversely proportional relationships:
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