Question
Diana's mom is making a big batch of hot chocolate for her and her figure skating team to drink after practice. There is a linear relationship between the amount of cocoa Diana's mom uses, in tablespoons, and the number of servings of hot chocolate she makes. 2 4 6 8 10 12 14 16 18 20 2 4 6 8 10 12 14 16 18 20 x y Amount of cocoa (tablespoons) Number of servings Describe the rate of change for this relationship. The amount of hot chocolate Diana's mom makes increases decreases by 1 2 of a serving 1 serving 2 servings 4 servings 12servings 20 servings per tablespoon of cocoa.
Answers
GPT-4o mini
To determine the rate of change for the relationship between the amount of cocoa used (in tablespoons) and the number of servings of hot chocolate made, we can analyze the linear relationship.
From the values given, it seems like there isn't an explicit table or graph shown, but we can still outline the concept. In a linear relationship, the rate of change can be determined by the ratio of change in the number of servings to the change in the amount of cocoa.
If, for example, for every 1 tablespoon of cocoa used, the number of servings increases by 2 servings, then the rate of change would be:
\[
\text{Rate of Change} = \frac{\text{Change in Number of Servings}}{\text{Change in Amount of Cocoa}} = \frac{2 \text{ servings}}{1 \text{ tablespoon}} = 2 \text{ servings per tablespoon}
\]
In the context of your choices, if the increase in servings correlates to the cocoa added as it appears you might be suggesting, the answer would be "2 servings per tablespoon of cocoa."
Please verify if my assumption reflects what you have since the exact values weren't detailed in your query. If you have specific data points, we can reassess the calculation accordingly.
From the values given, it seems like there isn't an explicit table or graph shown, but we can still outline the concept. In a linear relationship, the rate of change can be determined by the ratio of change in the number of servings to the change in the amount of cocoa.
If, for example, for every 1 tablespoon of cocoa used, the number of servings increases by 2 servings, then the rate of change would be:
\[
\text{Rate of Change} = \frac{\text{Change in Number of Servings}}{\text{Change in Amount of Cocoa}} = \frac{2 \text{ servings}}{1 \text{ tablespoon}} = 2 \text{ servings per tablespoon}
\]
In the context of your choices, if the increase in servings correlates to the cocoa added as it appears you might be suggesting, the answer would be "2 servings per tablespoon of cocoa."
Please verify if my assumption reflects what you have since the exact values weren't detailed in your query. If you have specific data points, we can reassess the calculation accordingly.