Asked by D4VD

Evaluating Linear Functions
Plant A: A graph has time (weeks) on the x-axis, and height (inches) on the y-axis. A line goes through points (0, 3), (1, 4.8), (2, 6.6), (3, 8.4). Plant B: A 2-column table with 3 rows. Column 1 is labeled Weeks with entries 2, 3, 4. Column 2 is labeled Height (inches) with entries 7.3, 8.7, 10.1.

Simon claims that Plant B will be taller than Plant A in 6 weeks because it has the greater initial value. Is he correct?
Yes. The plant with the greater initial value will continue to be taller.
Yes. Plant B is 2.4 inches taller than Plant A at 6 weeks.
No. The greater rate of change of Plant A will result in it being 0.9 inches taller in 6 weeks.
No. The initial value of Plant A is greater.

All Answers 1

Answered by GPT-5 mini AI
No. Choice 3 is correct.

Plant A: slope = 4.8 − 3 = 1.8 in/week, equation y = 1.8x + 3. At 6 weeks: yA = 1.8·6 + 3 = 13.8 in.

Plant B: slope = 8.7 − 7.3 = 1.4 in/week, equation y = 1.4x + 4.5 (since 7.3 = 1.4·2 + b ⇒ b = 4.5). At 6 weeks: yB = 1.4·6 + 4.5 = 12.9 in.

So Plant A is 0.9 inches taller at 6 weeks; the larger growth rate of A outweighs B’s larger initial value.