To show that the data in the table represents a proportional relationship, we need to determine if there is a constant rate of change between the two quantities (hours and minutes).
To do this, we can calculate the unit rate (or constant of proportionality) by dividing the number of minutes by the number of hours.
For example:
- When 1 hour corresponds to 9 minutes, the unit rate is 9 minutes / 1 hour = 9 minutes/hour
- When 2 hours correspond to 18 minutes, the unit rate is 18 minutes / 2 hours = 9 minutes/hour
- When 3 hours correspond to 27 minutes, the unit rate is 27 minutes / 3 hours = 9 minutes/hour
- When 4 hours correspond to 36 minutes, the unit rate is 36 minutes / 4 hours = 9 minutes/hour
Since the unit rate is constant at 9 minutes/hour for all the data points, we can conclude that the table represents a proportional relationship.
The quantities in the data table are in a proportional relationship. Using the data in the table, show your work and explain how you know the table represents a proportional relationship.(2 points)
hours. minutes
1. 9.
2. 18.
3. 27.
4. 36
1 answer