A 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
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At 120 weeks, ...
• the table tells you plant A is 180 inches tall
• the function tells you plant B is 4·120/3 = 160 inches tall
• the graph tells you plant C is 360 inches tall.
The tallest plant is 360 inches tall; the shortest is 160 inches tall. Their difference in height is
... 360 in - 160 in = 200
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its 200 bc im smart
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