Patrick did a survey in four butterfly parks and wrote the following observations: Butterfly Park Survey
Park Number of Violet Butterflies Total Number of Butterflies
A 28 73
B 45 98
C 53 84
D 34 67

Based on the survey, which park had the greatest percentage of violet butterflies?

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.