Question

Mrs Garcia planted a pepper plant in a tomato plant in her garden The pepper plant is 6 in tall and gross 2 in each week The tomato plant is 4 in tall and gross 2 in each week which of the following statements is true about the heights of the two plants select all that apply A The pepper plant is always taller than the tomato plant B after 2 weeks the tomato plant is taller than the pepper plant C after 3 weeks the tomato plant is taller than the pepper plant D after 4 weeks The tomato plants and the pepper plants are the same height E The tomato plant is always 2 in shorter than the pepper plant

Answer 1

Let's analyze the situation step by step. We have two plants:

• Pepper plant: Initial height = 6 inches, Growth rate = 2 inches/week
• Tomato plant: Initial height = 4 inches, Growth rate = 2 inches/week

Let's calculate their heights over the weeks:

1. After 0 weeks:

   • Pepper plant height = 6 inches
   • Tomato plant height = 4 inches

2. After 1 week:

   • Pepper plant height = 6 + 2 = 8 inches
   • Tomato plant height = 4 + 2 = 6 inches

3. After 2 weeks:

   • Pepper plant height = 6 + 2*2 = 10 inches
   • Tomato plant height = 4 + 2*2 = 8 inches

4. After 3 weeks:

   • Pepper plant height = 6 + 3*2 = 12 inches
   • Tomato plant height = 4 + 3*2 = 10 inches

5. After 4 weeks:

   • Pepper plant height = 6 + 4*2 = 14 inches
   • Tomato plant height = 4 + 4*2 = 12 inches

Now, let's evaluate the statements:

A. The pepper plant is always taller than the tomato plant.

• This is true, as we can see from the calculations, the pepper plant is always taller than the tomato plant at every week.

B. After 2 weeks the tomato plant is taller than the pepper plant.

• This is false, as after 2 weeks the pepper plant (10 inches) is still taller than the tomato plant (8 inches).

C. After 3 weeks the tomato plant is taller than the pepper plant.

• This is false, as after 3 weeks the pepper plant (12 inches) is still taller than the tomato plant (10 inches).

D. After 4 weeks the tomato plant and the pepper plant are the same height.

• This is false, as after 4 weeks the pepper plant (14 inches) is taller than the tomato plant (12 inches).

E. The tomato plant is always 2 inches shorter than the pepper plant.

• This is false, as the difference in height is always 2 inches in this example, but the initial heights are different (4 inches against 6 inches), so the absolute difference changes as they both grow at the same rate, keeping the gap of 2 inches as they grow taller.

Thus, the only true statement is:

A. The pepper plant is always taller than the tomato plant.