Use the image to answer the question.

Question

Twenty-two points are plotted on a scatterplot titled Basketball Card Values. The x-axis is labeled Years, and the y-axis is labeled Dollars.

The 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 years. For example, (9,50)
represents a 9-year-old basketball card that is worth $50. Which model best fits this data?

(1 point)
Responses

no model
no model

an exponential model
an exponential model

a quadratic model
a quadratic model

a linear model
a linear model
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Answer 1

To determine which model best fits the data in the scatterplot, we need to analyze the pattern of the points plotted. Here's a general guideline for selecting each type of model based on the characteristics of the data:

1. Linear Model: This model fits data that shows a constant rate of change. If the points create a straight line or fall closely along a linear pattern, a linear model would be appropriate.

2. Quadratic Model: This model is suitable if the data points form a parabolic shape, indicating that the rate of change is not constant but rather increases or decreases at varying rates.

3. Exponential Model: This model fits data that increases or decreases rapidly over time. If the points show a growth pattern that accelerates (i.e., the y-values increase dramatically as the x-values increase), an exponential model would be appropriate.

4. No Model: If the points show no clear pattern or trend at all, then none of the above models would apply.

Since I cannot see the scatterplot, I recommend you analyze the distribution of the points based on the points' arrangement you described. Consider how they fall in relation to the axes and whether they exhibit any of the above characteristics. Choose the option that you believe best fits the observed data.