The table below shows the ratio of a bird's brain to body weight.
Brain (part) 0.4 B 1.6 E
Body (part) A 12.1 17.6 44
Total (whole) 4.8 C D 48
Which table shows the correct missing values?
Brain (part) 0.4 1.1 1.6 4
Body (part) 4.4 12.1 17.6 44
Total (whole) 4.8 13.2 19.2 48
Brain (part) 0.4 2.1 1.6 4
Body (part) 4.0 12.1 17.6 44
Total (whole) 4.8 14.2 19.2 48
Brain (part) 0.4 1.1 1.6 4
Body (part) 3.8 12.1 17.6 44
Total (whole) 4.8 14.2 33.6 48
Brain (part) 0.4 2.1 1.6 4
Body (part) 4.4 12.1 17.6 44
Total (whole) 4.8 13.2 33.6 48
The correct table showing the missing values is:
Brain (part) 0.4 1.1 1.6 4
Body (part) 4.0 12.1 17.6 44
Total (whole) 4.8 14.2 19.2 48
To determine which table shows the correct missing values, we can use the given information and assign values to the missing parts.
From the given table, the brain to body weight ratio is as follows:
- Brain (part) 0.4 : Body (part) A = 4.8 : 4
- Brain (part) 1.6 : Body (part) E = 4.8 : 44
Based on these ratios, we can calculate the missing values as follows:
- Brain (part) 0.4 : Body (part) B = (0.4 / 0.4) * 4 = 4
- Brain (part) 1.6 : Body (part) D = (1.6 / 1.6) * 44 = 44
Now let's analyze the given table options:
Option 1: Brain (part) 0.4 1.1 1.6 4
- The value for Brain (part) B is incorrect. It should be 4, not 1.1.
- The value for Body (part) A is incorrect. It should be 4, not 4.4.
- The value for Total (whole) C is incorrect. It should be 14.2, not 13.2.
Option 2: Brain (part) 0.4 2.1 1.6 4
- The value for Brain (part) B is correct (4).
- The value for Body (part) A is incorrect. It should be 4, not 4.0.
- The value for Total (whole) C is incorrect. It should be 14.2, not 13.2.
Option 3: Brain (part) 0.4 1.1 1.6 4
- The value for Brain (part) B is incorrect. It should be 4, not 1.1.
- The value for Body (part) A is incorrect. It should be 4, not 3.8.
- The value for Total (whole) C is incorrect. It should be 14.2, not 33.6.
Option 4: Brain (part) 0.4 2.1 1.6 4
- The value for Brain (part) B is correct (4).
- The value for Body (part) A is incorrect. It should be 4, not 4.4.
- The value for Total (whole) C is incorrect. It should be 14.2, not 33.6.
After analyzing all the options, we can conclude that none of the given options show the correct missing values.