A biologist measured the length and mass of 20 reptiles. The equation y equals 0.3 x minus 2 is the line of best fit for the data, where x is the length, in centimeters, and y is the mass, in grams.



Based on the equation, what is the approximate length of a reptile that has a mass of 20.5 grams?

Answer options with 4 options
A.
62 centimeters

B.
66 centimeters

C.
70 centimeters

D.
75 centimeters

1 answer

To find the approximate length of a reptile with a mass of 20.5 grams, we can substitute the mass (y) into the equation and solve for the length (x).

y = 0.3x - 2

Substitute y = 20.5 into the equation:

20.5 = 0.3x - 2

Add 2 to both sides:

22.5 = 0.3x

Divide both sides by 0.3:

x = 22.5 / 0.3

x = 75

Therefore, the approximate length of a reptile with a mass of 20.5 grams is 75 centimeters. Answer choice D.