Question

Please help me answer the question. Please go through the steps clearly

Answer 1

To find the rate at which each plant grows, divide a change in height by the corresponding change in time.

Plant 1

From weeks 2 to 5, the plant grew from 8 inches to 20 inches.

The time interval is equal to 3 weeks, while the change in height is 12 inches. Then, the rate of growth is:

`\frac{12\text{inches}}{3\text{weeks}}=4\text{ inches per week}`

Plant 2

From weeks 2 to 6, the plant grew from 4 inches to 12 inches.

The time interval between weeks 2 and 6 is 4 weeks, while the change in height for that period was 8 inches. Then, the rate of growth is:

`\frac{8\text{ inches}}{4\text{ weeks}}=2\text{ inches per week}`

Since 4 is greater than 2, then the rate of growth of plant 1 is greater than the rate of growth of plant 2. Therefore, plant 1 grows faster.