Question

he data in the preceding graph represents the value of basketball cards over time. Each point represents the value of a basketball card after a certain number of year. For example, (9, 50) represents a 9-year old basketball card that is worth $50. Which model best fits this data.



(1 point)
Responses

a quadratic model
a quadratic model

a linear model
a linear model

an exponential model
an exponential model

no model
no model
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Answer 1

To determine which model best fits the data representing the value of basketball cards over time, we need to consider how the value typically changes as the age of the card increases.

1. **Linear Model**: Suggests a constant rate of change. If the values increased or decreased consistently over time, this model might be appropriate.

2. **Quadratic Model**: Indicates a parabolic relationship, which could represent situations where the initial increase in value might level off or change direction over time. This could apply if the value changes more dramatically as time goes on.

3. **Exponential Model**: Implies growth that accelerates over time. If the value of the cards increases rapidly as the cards age, this model would be appropriate.

4. **No Model**: Perhaps the data is too erratic or does not follow a recognizable trend.

Without seeing the actual graph, a precise answer cannot be provided. However, if the value of basketball cards tends to increase rapidly with age, an exponential model might be the best fit. If it increases steadily, a linear model could be appropriate. If the value follows a pattern that increases and then levels off, a quadratic model will be more suitable.

Based on common trends observed with collectibles, an exponential model may often be a good guess, but please analyze the graph directly to decide.

You could select:
- **a quadratic model**
- **a linear model**
- **an exponential model**
- **no model**

If more specific information or trends from the graph were given, it would help narrow this down further!