Question

questions 10 and 11 refer to the following information. gestation period versus life expectancy a curator at a wildlife society created the scatterplot above to examine the relationship between the gestation period and life expectancy of 10 species of animals. 10 what is the life expectancy, in years, of the animal that has the longest gestation period? a) 3 b) 4 c) 8 d) 10 11 of the labeled points, which represents the animal for which the ratio of life expectancy to gestation period is greatest? a) a b) b c) c d) d

Explanation:

Step1: Identify longest gestation period

The x - axis represents gestation period. The highest x - value among the labeled points is for point D.

Step2: Find life - expectancy of point D

Looking at the y - value for point D on the scatter - plot, the life - expectancy corresponding to point D is 10 years.

Step1: Calculate ratio for each point

For point A: Let the gestation period be \(x_A = 20\) days and life - expectancy be \(y_A=7\) years. The ratio \(r_A=\frac{y_A}{x_A}=\frac{7}{20}=0.35\).
For point B: Let the gestation period be \(x_B = 50\) days and life - expectancy be \(y_B = 8\) years. The ratio \(r_B=\frac{y_B}{x_B}=\frac{8}{50}=0.16\).
For point C: Let the gestation period be \(x_C = 55\) days and life - expectancy be \(y_C = 8\) years. The ratio \(r_C=\frac{y_C}{x_C}=\frac{8}{55}\approx0.145\).
For point D: Let the gestation period be \(x_D = 60\) days and life - expectancy be \(y_D = 10\) years. The ratio \(r_D=\frac{y_D}{x_D}=\frac{10}{60}=\frac{1}{6}\approx0.167\).
Since \(r_A = 0.35\) is the largest among the ratios.

Answer:

D. 10