Apex Learning – Courses apexlearning convpublic/activity/3003003/assessment New Tab Answer | Math Prob – Pearson Little Big Snake survive 10 2D battle Spotify Web 3.3.3 Quiz: Graphs of Functions Which is true about the functional relationship shown in the graph? Cost of Apples J Weight (pounds) The cost of the apples is a function of the type of apples. The weight of the apples is a function of their cost. The cost of the apples is a function of their weight. The weight of the apples is a function of the number of apples.
The Correct Answer and Explanation is:
In this case, based on the context provided, the most likely correct answer is:
The cost of the apples is a function of their weight.
Explanation:
When analyzing functional relationships from a graph, it’s important to understand what a “function” means in this context. A function describes how one variable (the dependent variable) changes in response to another variable (the independent variable). In simpler terms, for every input (independent variable), there should be exactly one output (dependent variable).
- The cost of the apples is a function of the weight of the apples: This suggests that for a given weight of apples, there is a specific cost associated with it. This is a typical scenario when you’re purchasing apples, where the cost depends on how much you buy (i.e., weight). So, if the graph plots the weight of apples on the x-axis and the cost on the y-axis, you would expect a specific, predictable relationship between the weight and the cost.
The other options don’t align with how we typically think about these variables:
- The cost of the apples is a function of the type of apples: While it’s true that different types of apples may have different costs, the type of apple isn’t usually plotted on a graph like this. If this were a graph, you’d expect a clear, continuous relationship between weight and cost, not between type and cost (which would likely involve different categories or separate lines for different types).
- The weight of the apples is a function of their cost: This relationship would imply that for a specific cost, you could only have one weight of apples. However, this is less common because the cost often correlates directly to weight, not the other way around.
- The weight of the apples is a function of the number of apples: While this could be true in some scenarios, it’s not typically what would be shown on a graph that compares weight and cost. The number of apples isn’t directly related to the cost or weight in the way the question suggests.
So, the most logical conclusion is that the cost of apples is determined by their weight, making it the dependent variable in this case.
