Question

Patricia has two plants in her garden. Plant A grows 2 inches per month, and Plant B grows 1.8 meters in a year.

[1 meter = 39.37 inches]

Part A: Which plant grows faster? Justify your answer by comparing the rate at which the plants grow after converting to the same units. (5 points)

Part B: If the original height of the plant was 2 inches and you checked on its height every 15 days, describe appropriate scales on the x-axis and y-axis to graph the rate at which the slower growing plant increases in height. Assume that the height of the plant increases linearly. (5 points)

Answer 1

@Night-Watcher

Answer 2

This is what i got for Part A : plant A grows 24 inches per year. Plant B grows 70.86 (70.9 or 71) inches per year. Plant B grows faster.

Answer 3

For Part A. Plant B grows faster. Plant B grows 3.28 inches in a month.

Answer 4

For Part B
'Mark the x-axis by month, so that 1 month has an x-coordinate of 1, and 3 months has an x-coordinate of 3, etc. Mark the y-axis by inches, so that 2 inches is represented by the y-coordinate of 2. Since Plant A, the slower growing plant, starts at an original height of 2 inches, before any time has passed, the start of the graph of it's growth is on the coordinate (0, 2).

Since 15 days is half of 1 month, or 1/2 months, it's growth in that time will equal 2 inches/2, or 1 inch. Therefore, the end point after 15 days of growth would lie on the coordinate (0.5, 3).'

Answer 5

Thank you sooo much