SAT question cf0ae57a (Two-variable Data Models And Scatterplots)

Question

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. An astronomer has discovered a new planetoid about $1.2$ AU from the Sun. According to the line of best fit, which of the following best approximates the density of the planetoid, in grams per cubic centimeter?

56

Difficulty:Easy

A

$3.6$

B

$4.1$

C

$4.6$

D

$5.5$

College Board · Accepted Answer

The correct answer is C. Choice C is correct. According to the line of best fit, a planetoid with a distance from the Sun of 1.2 AU has a predicted density between 4.5 grams per cubic centimeter and 4.75 grams per cubic centimeter. The only choice in this range is 4.6 .

Explanation

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Why the other choices are wrong

SAT Question cf0ae57a: Two-variable Data Models And Scatterplots answer and explanation with Desmos solution

Explanation

Enter in Desmos:

Why the other choices are wrong