Students graphed the growth rate over several weeks of two plants in their classroom. The equations of both plants are given where x represents the time in weeks and y represents the heights of the plants in inches. Plant A: y = 1.8x + 3.1 Plant B: y = 2.3x + 1.9 Approximately how many weeks will it take for both plants to reach the same height? Round your answer to the nearest tenth. 1.9 weeks 2.4 weeks 3.1 weeks 7.4 weeks
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Answer:
Height is equal = Y = 1.8 X + 3.1 = 2.3 X + 1.9
=> 2.3 X - 1.8 X = 3.1 - 1.9
=> 0.5 X = 1.2
=> x = 1.2/0.5 = 2.4
Time = 2.4 weeks
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