A biologist measured the length and mass of 20 reptile. The equation y= 0.3x-2 is the pine of best fot for the data, where x is the lenth in centimenters and y is the mass in grams. Based on the question what is the approximate length of a reptile that has a mass of 20.5 grams?
Answers
Given : A biologist measured the length and mass of 20 reptile.
The equation y= 0.3x-2 is the line of best fit for the data
To Find : approximate length of a reptile that has a mass of 20.5 grams?
Solution:
x is the length in centimenters
y is the mass in grams.
y= 0.3x-2
mass of 20.5 grams
=> y = 20.5
=> 20.5 = 0.3x - 2
=> 22.5 = 0.3x
=> 22.5/0.3 = x
=> x = 225/3
=> x = 75
approximate length in centimenters = 75
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Answer:
Equation y = 0.3x - 2 is the line of best fit for the data, where x is the lenth in centimetres and y is the mass in grams.
- Mass of reptile (y) = 20.5 grams
⇒ y = 0.3x - 2
⇒ 20.5 = 0.3x - 2
⇒ 20.5 + 2 = 0.3x
⇒ 22.5 = 0.3x
⇒ 22.5 / 0.3 = x
⇒ x = 75 cm
∴ Approximate length of the reptile is 75 cm.