To determine if the relationship between time and the amount of popcorn popped is directly proportional, we should consider two main factors:
- A direct proportionality means that as time increases, the amount of popcorn popped also increases at a consistent rate.
- The graph of a directly proportional relationship is a straight line that passes through the origin (0,0).
Based on the options given:
- If the graph does not make a straight line, then the relationship is not directly proportional.
- If the input is time and the output is the amount of popcorn popped, that doesn't alone determine proportionality.
- If for every 10 minutes there are 4 ounces of popcorn popped, this suggests a consistent rate, but also needs to be evaluated against the origin condition.
- If the graph does not go through the origin, it cannot be directly proportional.
Based on the understanding above, you should select the response that highlights either a lack of a straight line or not going through the origin as the factors indicating that the relationship is not directly proportional.
So from your options, the best answer would be:
No, the graph does not make a straight line.
or
No, the graph does not go through the origin.
Choose one of these two options, depending on what you assessed about the graph or the nature of the relationship. If both descriptions fit the scenario, the emphasis on the origin is crucial for direct proportionality.
1 answer