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.

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Natalia252 Natalia252 · Answer 1 · 2017-01-19T15:31:07+01:00

1.8x + 3.1 = 2.3x + 1.9
1.8x - 2.3x = 1.9 - 3.1
-0.5x = -1.2
x = -1.2 / -0.5
x = 2.4 weeks

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lublana lublana · Answer 2 · 2019-07-17T09:31:59+02:00

Answer:

Step-by-step explanation:

We are given that Students graphed the growth rate over several weeks of two plants in their classroom.

The equation of both plants are given

Plant A: [tex]y=1.8x+3.1[/tex]

Plant B:[tex]y=2.3x+1.9[/tex]

Where x represents the time in weeks and y represents the heights of plants in inches.

We have to find the number of weeks will it take for both plant to raech the same height.

Then we substitue both equations equal because the height of both plants is same.

[tex] 1.8x+3.1=2.3x+1.9[/tex]

[tex]1.8x+3.1-1.9=2.3x[/tex]

Subtraction property of equality

[tex]1.2+1.8x=2.3x[/tex]

[tex]2.3x-1.8x=1.2[/tex]

By subtraction property of equality

[tex]0.5x=1.2[/tex]

By division property of equality

[tex]x=\frac{1.2}{0.5}[/tex]

x=2.4

Hence, it will take time for both plants to reach the same height=2.4 weeks.