students graphed the growth rate over several weeks of two plants in their classroom. the equations of both…

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

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

Answer

Explanation:

Step1: Set the two equations equal

Set (1.8x + 3.1=2.3x + 1.9).

Step2: Rearrange terms

Subtract (1.8x) from both sides: (3.1 = 2.3x-1.8x + 1.9), which simplifies to (3.1=0.5x + 1.9).

Step3: Isolate (x)

Subtract (1.9) from both sides: (3.1 - 1.9=0.5x), so (1.2 = 0.5x). Then divide both sides by (0.5): (x=\frac{1.2}{0.5}=2.4).

Answer:

2.4 weeks