Questions: Questions 7 and 8 refer to the following information. Distance and Density of Planetoids in the Inner Solar System The scatterplot above shows the densities of 7 planetoids, in grams per cubic centimeter, with respect to their average distances from the Sun in astronomical units (AU). The line of best fit is also shown. According to the scatterplot, which of the following statements is true about the relationship between a planetoid's average distance from the Sun and its density? A) Planetoids that are more distant from the Sun tend to have lesser densities. B) Planetoids that are more distant from the Sun tend to have greater densities. C) The density of a planetoid that is twice as far from the Sun as another planetoid is half the density of that other planetoid. D) The distance from a planetoid to the Sun is unrelated to its density.

Questions 7 and 8 refer to the following information. Distance and Density of Planetoids in the Inner Solar System

The scatterplot above shows the densities of 7 planetoids, in grams per cubic centimeter, with respect to their average distances from the Sun in astronomical units (AU). The line of best fit is also shown.

According to the scatterplot, which of the following statements is true about the relationship between a planetoid's average distance from the Sun and its density? A) Planetoids that are more distant from the Sun tend to have lesser densities. B) Planetoids that are more distant from the Sun tend to have greater densities. C) The density of a planetoid that is twice as far from the Sun as another planetoid is half the density of that other planetoid. D) The distance from a planetoid to the Sun is unrelated to its density.
Transcript text: Questions 7 and 8 refer to the following information. Distance and Density of Planetoids in the Inner Solar System The scatterplot above shows the densities of 7 planetoids, in grams per cubic centimeter, with respect to their average distances from the Sun in astronomical units (AU). The line of best fit is also shown. 7 According to the scatterplot, which of the following statements is true about the relationship between a planetoid's average distance from the Sun and its density? A) Planetoids that are more distant from the Sun tend to have lesser densities. B) Planetoids that are more distant from the Sun tend to have greater densities. C) The density of a planetoid that is twice as far from the Sun as another planetoid is half the density of that other planetoid. D) The distance from a planetoid to the Sun is unrelated to its density.
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Solution

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Solution Steps

Step 1: Analyze the scatterplot and the line of best fit

The scatterplot shows a negative correlation between a planetoid's average distance from the Sun and its density. As the distance from the Sun increases, the density tends to decrease. The line of best fit has a negative slope, confirming this trend.

Step 2: Evaluate the answer choices

A) This statement aligns with the observed negative correlation in the scatterplot and the negative slope of the line of best fit. B) This statement contradicts the observed trend. C) While the trend is negative, the relationship doesn't appear to be a precise halving of density for a doubling of distance. D) This statement is incorrect, as there is a clear relationship between distance and density.

Final Answer A

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