Final answer:
Plant C is 4/5 times as tall as Plant B, which means it is shorter. Upon calculating the difference in their heights and converting feet to inches, we find that Plant C is 16 inches shorter than Plant B.
Step-by-step explanation:
To determine how tall Plant C is compared to Plant B, we start by identifying that Plant B is 16/3 feet tall. According to the information given, Plant C is 4/5 as tall as Plant B. To calculate the height of Plant C, we perform the following multiplication:
- Height of Plant C = (4/5) × (16/3)
By simplifying the multiplication, we get:
- Height of Plant C = (4 × 16) / (5 × 3) = 64/15 feet.
Converting the height of Plant C into a factor of Plant B's height, we see that:
- Plant C is 64/15 divided by 16/3 = 64/15 × 3/16 = 4/5 times as tall as Plant B.
Next, to find out how much taller or shorter Plant C is in inches, we subtract the height of Plant C from Plant B's height and convert the result into inches:
- Difference in height (in feet) = (16/3) - (64/15) = (80/15) - (64/15) = 16/15 feet
- Difference in height (in inches) = (16/15 feet) × 12 inches/foot = 16 inches.
Therefore, Plant C is 4/5 times as tall as Plant B. Plant C is 16 inches shorter than Plant B.