Given:distance \(= 490(time)^2\)

(a) A plot of distance versus \(time^2\) would approximately follow a straight line, because distance \(= 490(time)^2\) and thus y \(= 490x\) will be the straight line.

(b) A plot of sqrt(distance) versus time would approximately follow a straight line, because taking the square root of each side of distance \(= 490(time)^2\) results in sqrt(distance) \(= \sqrt{490time}\) and thus \(y = \sqrt{490x}\) will be the straight line.

(c) A plot ofdistance versus sqrttime would not approximately follow a straight line, becatse distance \(= 490(time)\)? and thus there is a linear relationship between distance and \((time)^2\) but not between distance and sqrttime.

(d) A plot of In distance versus In time would approximately follow a straight line, because distance \(= 490(time)^2\) is a power model (as we take the power of time) and we can straight the pattern in \(«\) dotplot of a power model by taking the logarithm of each side.

(e) A plot of logdistance versus log time would approximately follow a straight line, because distance \(= 490(time)^2\) is a power model (as we take the power of time) and we can straight the pattern in a dotplot of a power model by taking the logarithm of each side.