A scatterplot includes data showing the relationship between the value of a painting and the age of the painting. Which graph displays the line of best fit for the data?

A graph has age (years) on the x-axis and value (dollars) on the y-axis. A line with best fit is too steep.
A graph has age (years) on the x-axis and value (dollars) on the y-axis. A line with best fit is not steep enough.
A graph has age (years) on the x-axis and value (dollars) on the y-axis. A line with best fit is not steep enough.
A graph has age (years) on the x-axis and value (dollars) on the y-axis. A line with best fit goes through the points.

At the olympic games, many events have several rounds of competition. one of these events is the men's 100-meter backstroke. the upper dot plot shows the times (in seconds) of the top 8 finishers in the final round of the 2012 olympics. the lower dot plot shows the times of the same 8 swimmers, but in the semifinal round. which pieces of information can be gathered from these dot plots? (remember that lower swim times are faster.) choose all answers that apply: a: the swimmers had faster times on average in the final round. b: the times in the final round vary noticeably more than the times in the semifinal round. c: none of the above.

Two variables, x and y, vary inversely, and x=12 when y=4. what is the value of y when x=3?

Set $r$ is a set of rectangles such that (1) only the grid points shown here are used as vertices, (2) all sides are vertical or horizontal and (3) no two rectangles in the set are congruent. if $r$ contains the maximum possible number of rectangles given these conditions, what fraction of the rectangles in set $r$ are squares? express your answer as a common fraction.