Question

Rachel traveled to five different areas (A, B, C, D, and E) to study the number of buckeye butterflies and the number of monarch butterflies living there. The table shows her findings. Area Buckeye Butterflies Monarch Butterflies 
A 15 16
B 27 36
C 12 25
D 24 32
E 44 33
The relationship between the number of buckeye butterflies and the number of monarch butterflies is not proportional across all areas. Which two areas have buckeyes and monarchs in the same proportion?

areas A and B,
areas C and E,
areas B and D, < Correct answer
areas C and D

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Answer 1

Area A = 15/16 = 0.9375
Area B = 27/36 = 0.75
Area C = 12/25 = 0.48
Area D = 24/32 = 0.75
Area E = 44/33 = 1.33

From the above, areas B and D have buckeyes and monarchs in the same proportion

Answer 2

Answer:

As we can see our our ration in Area B and Area D gives the same answer, so they are in proportion

Step-by-step explanation:

Given that

Rachel traveled to 5 areas to find  number of Buckeye and Monarch butterflies.

Areas Rachel Traveled to = A, B, C, D, E

The table given below shows her findings.

Area            Buckeye          Monarch

A                     15              16  

B                      27              36  

C                     12              25  

D                      24              32  

E                      44              33

Now lets find the ratio of Buckeye and Monarch Butterflies in these areas

Area A

Buckeye : Monarch = 15:16 = 0.9375

Area B

Buckeye : Monarch = 27:36 = 0.75

Area C

Buckeye : Monarch = 12:25= 0.48

Area D

Buckeye : Monarch = 24:32 = 0.75

Area E

Buckeye : Monarch = 44:33 = 1.334

As we know that if two ratios give same answer after solving the fraction then these ratios are in proportion.

As we can see our our ration in Area B and Area D gives the same answer, so they are in proportion.