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 + 3.1Plant B: y = 2.3x + 1.9Approximately how many weeks will it take for both plants to reach the same height? Round your answer to the nearest tenth.
Set the plants’ height equations equal: 1.8x + 3.1 = 2.3x + 1.9. Subtract 1.8x and 1.9 from both sides to get 1.2 = 0.5x, so x = 2.4. Both plants reach the same height after approximately 2.4 weeks, which is choice B.
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