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, in grams. based on the equation, what is the approximate length of a reptile that has a mass of 20.5 grams? a 62 cm b 66 cm c 70 cm d 75 cm

Explanation:

Step1: Substitute mass value into equation

We are given the equation $y = 0.3x-2$, where $y$ is mass and $x$ is length. Substitute $y = 20.5$ into the equation: $20.5=0.3x - 2$.

Step2: Solve for $x$

First, add 2 to both sides of the equation: $20.5 + 2=0.3x$, so $22.5 = 0.3x$. Then divide both sides by 0.3: $x=\frac{22.5}{0.3}=75$.

Answer:

A. 75 cm