a plant is 2 inches tall. in sunlight, the plant grows 1 inch each week. at the end of the 4th week, the…

a plant is 2 inches tall. in sunlight, the plant grows 1 inch each week. at the end of the 4th week, the plant is placed in a dark room for 2 weeks and stops growing. it is then returned to the sunlight and grows at the same rate for the next 3 weeks. describe how you would go about sketching the graph of this relationship. include key features of the graph in your description.

a plant is 2 inches tall. in sunlight, the plant grows 1 inch each week. at the end of the 4th week, the plant is placed in a dark room for 2 weeks and stops growing. it is then returned to the sunlight and grows at the same rate for the next 3 weeks. describe how you would go about sketching the graph of this relationship. include key features of the graph in your description.

Answer

Answer:

  1. Axis - label: Label the x - axis as "Time (weeks)" and the y - axis as "Plant Height (inches)".
  2. Initial point: Plot the point (0, 2) since the plant starts at 2 inches tall.
  3. First growth phase (0 - 4 weeks): The plant grows 1 inch per week. The equation for this linear part is $y=x + 2$ for $0\leq x\leq4$. Plot points like (1, 3), (2, 4), (3, 4), (4, 6) and draw a straight - line segment connecting them.
  4. No - growth phase (4 - 6 weeks): The plant's height remains constant. So, for $4\lt x\leq6$, $y = 6$. Plot points (5, 6) and (6, 6) and draw a horizontal line segment.
  5. Second growth phase (6 - 9 weeks): The plant resumes growing at 1 inch per week. The equation is $y=(x - 6)+6=x$ for $6\lt x\leq9$. Plot points like (7, 7), (8, 8), (9, 9) and draw a straight - line segment connecting them.

Explanation:

Step1: Define axes

Label x as time and y as height.

Step2: Mark initial state

Plot starting height at week 0.

Step3: First growth

Use linear growth formula for 0 - 4 weeks.

Step4: No - growth

Keep height constant for 4 - 6 weeks.

Step5: Second growth

Use linear growth formula for 6 - 9 weeks.