Question

A biologist measured the length and mass of 20 reptiles. The equation y=0.3x - 2 is the line of best fit for the data, where x is the length, in centimeters, and y is the mass, is grams. Based on the equation what is the approximate length of a reptile that has a mass of 20.5grams

Answer 1

Answer:

It should be 75 cm if we're taking the same test.

Step-by-step explanation:

y=0.3x-2

20.5=0.3(75)-2

0.3*75=22.5

22.5-2=20.5

20.5=20.5

Answer 2

Using the line of best-fit, it is found that the approximate length of the reptile is of 75 centimetres.

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The mass y, in grams, of a reptile with length of x centimetres is given by:

$y = 0.3x - 2$

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• Mass of 20.5 grams means that $y = 20.5$
• The length for this reptile is found solving the line of best-fit for x, thus:

$y = 0.3x - 2$

$20.5 = 0.3x - 2$

$0.3x = 22.5$

$x = \frac{22.5}{0.3}$

$x = 75$

The approximate length of the reptile is of 75 centimetres.

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