Question

the table of values below represents a linear function and shows the weight of a kitten as it has grown. what is the output for the initial value?

weight of a kitten
kittens age (weeks): 2, 4, 6, 8, 10
weight (pounds): 0.8, 1.4, 2.0, 2.6, 3.2

0.2 pounds
0.3 pounds
0.6 pounds
0.8 pounds

Explanation:

Calculate the rate of change

Using the Rate of Change knowledge point

$$ m = \frac{1.4 - 0.8}{4 - 2} = \frac{0.6}{2} = 0.3 $$

Find the initial value

Using the Slope-Intercept Form and Linear Equation from Table knowledge points

$$
LATEXBLOCK0
$$

Answer:

• (A) 0.2 pounds (Correct answer)
• (B) 0.3 pounds
• (C) 0.6 pounds
• (D) 0.8 pounds