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Maths-
General
Easy

Question

The scatterplot above shows the densities of 7 planetoids, in grams per cubic centimetre, 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?

  1. Planetoids that are more distant from the Sun tend to have lesser densities.
  2. Planetoids that are more distant from the Sun tend to have greater densities.
  3. The density of a planetoid that is twice as far from the Sun as another planetoid is half the density of that other planetoid. 
  4. The distance from a planetoid to the Sun is unrelated to its density.

The correct answer is: Planetoids that are more distant from the Sun tend to have lesser densities.

    HINT – See the line of best fit. Observe its slope.
    SOLUTION -  The line of best fit is given. We can observe that the line on the line graph moves from left to right, the line falls. This implies that the slope of the line is negative.
    rightwards double arrowAs the distance of the planetoids from the sun increases, their densities decreases.
    rightwards double arrowPlanetoids that are more distant from the sun tend to have lesser
    densities.
    Hence, option A is correct

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