Question

ms. thomsons class visited five freshwater lakes to learn more about the crocodiles and alligators living in them. the class counted the number of species in each lake as shown in the table.

lake	crocodiles	alligators
b	21	35
c	3	9
d	6	16
e	24	30

the relationship between the number of crocodiles and the number of alligators is not proportional across all lakes. only two of the lakes have crocodiles and alligators in the same proportion. which two lakes are they?
a. lake a and lake b
b. lake b and lake c
c. lake a and lake e
d. lake c and lake d

Explanation:

Step1: Calculate proportion for Lake A

The proportion of crocodiles to alligators in Lake A is $\frac{4}{5}= 0.8$.

Step2: Calculate proportion for Lake B

The proportion of crocodiles to alligators in Lake B is $\frac{21}{35}=0.6$.

Step3: Calculate proportion for Lake C

The proportion of crocodiles to alligators in Lake C is $\frac{3}{9}=\frac{1}{3}\approx0.33$.

Step4: Calculate proportion for Lake D

The proportion of crocodiles to alligators in Lake D is $\frac{6}{16}=\frac{3}{8} = 0.375$.

Step5: Calculate proportion for Lake E

The proportion of crocodiles to alligators in Lake E is $\frac{24}{30}=0.8$.

Step6: Compare proportions

We see that the proportions for Lake A and Lake E are the same ($0.8$), and the proportions for the other - lake pairs are different.

Answer:

C. Lake A and Lake E