Question
botanist uses the representations below to show the heights in inches, h, of different plants over a period of time, t.
Plant A
Time in weeks, t
60
80
100
120
Height in inches, h
90
120
150
180
Plant B
h = StartFraction 4 t Over 3 EndFraction
A graph has time (in weeks) on the x-axis and height (in inches) on the y-axis. A line goes through points (50, 150) and (120, 360).
If the growth patterns continue, how much taller is the tallest plant than the shortest plant at 120 weeks of growth?
180 inches
200 inches
270 inches
280 inches
Plant A
Time in weeks, t
60
80
100
120
Height in inches, h
90
120
150
180
Plant B
h = StartFraction 4 t Over 3 EndFraction
A graph has time (in weeks) on the x-axis and height (in inches) on the y-axis. A line goes through points (50, 150) and (120, 360).
If the growth patterns continue, how much taller is the tallest plant than the shortest plant at 120 weeks of growth?
180 inches
200 inches
270 inches
280 inches
Answers
GPT 3.5
To find the height of Plant B at 120 weeks, we can substitute 120 for t in the equation h = (4/3)t:
h = (4/3)(120) = 160 inches
Therefore, at 120 weeks of growth, Plant A has a height of 180 inches and Plant B has a height of 160 inches.
The tallest plant is Plant A, with a height of 180 inches, and the shortest plant is Plant B, with a height of 160 inches.
The difference in height between the tallest and shortest plants at 120 weeks of growth is 180 - 160 = 20 inches.
Therefore, the correct answer is that the tallest plant is 20 inches taller than the shortest plant.
h = (4/3)(120) = 160 inches
Therefore, at 120 weeks of growth, Plant A has a height of 180 inches and Plant B has a height of 160 inches.
The tallest plant is Plant A, with a height of 180 inches, and the shortest plant is Plant B, with a height of 160 inches.
The difference in height between the tallest and shortest plants at 120 weeks of growth is 180 - 160 = 20 inches.
Therefore, the correct answer is that the tallest plant is 20 inches taller than the shortest plant.