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

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moralesanabella47 moralesanabella47 · Answer 1 · 2020-09-15T23:56:25+02:00

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

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joaobezerra joaobezerra · Answer 2 · 2021-09-10T18:16:50+02:00

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:

[tex]y = 0.3x - 2[/tex]

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

[tex]y = 0.3x - 2[/tex]

[tex]20.5 = 0.3x - 2[/tex]

[tex]0.3x = 22.5[/tex]

[tex]x = \frac{22.5}{0.3}[/tex]

[tex]x = 75[/tex]

The approximate length of the reptile is of 75 centimetres.

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