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1. Based on the corrected trend lines, which plant grew at the fastest rate?
2. Why is it important to set the y-intercept to zero in trend lines?
3. Using the trend line for the slowest growing wheat plant, predict the number of weeks it would take for it to reach 50cm.

1 Based On The Corrected Trend Lines Which Plant Grew At The Fastest Rate 2 Why Is It Important To Set The Yintercept To Zero In Trend Lines 3 Using The Trend L class=

Sagot :

(1) The pant that will grow at the fastest rate is plant 1

(2) It is important to set the y-intercept to zero because it allows the lines to start from the zero origin.

(3) The slowest growing plant will attain the given height in 50.75 weeks

The given corrected equation for growth trend lines for the different plant;

[tex]Plant \ 1 : \ \ y = 1.402x\\\\Plant \ 2: \ \ y = 1.3431x\\\\Plant\ 3: \ \ y = 0.9853x[/tex]

(1) The pant that will grow the fastest rate is the plant with the highest slope.

  • Plant 1 has the highest slope (1.402) and thus will grow the fastest.

(2) It is important to set the y-intercept to zero because it allows the lines to start from the zero origin. Thus, enabling the growth of the different plants to start at the same time (0).

(3) The slowest growing wheat plant is the third plant or plant 3:

[tex]y = 0.9853x[/tex]

height of the plant = y = 50 cm

the number of weeks = x

The number of weeks to attain the given height is calculated as follows;

[tex]y = 0.9853x\\\\x = \frac{y}{0.9853} \\\\x = \frac{50}{0.9853} \\\\x = 50.75 \ weeks[/tex]

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