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:

Step-by-step explanation:

x represents the time in weeks

y represents the heights of the plants in inches.

Plant A: y = 1.8x + 3.1

Plant B: y = 2.3x + 1.9

We would equate both plants together

Plant A = Plant B

Plant A: y = 1.8x + 3.1

Plant B: y = 2.3x + 1.9

Hence:

1.8x + 3.1 = 2.3x + 1.9

Collect like terms

3.1 - 1.9 = 2.3x - 1.8x

1.2 = 0.5x

x = 1.2/0.5

x = 2.4 weeks

Hence, it would take 2.4 weeks for Plant A and Plant B to reach the same height

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