Question

the equation for the line of best fit is ( y = 3.5x + 4 ). according to the equation, which of these statements is true? a newborn kitten would likely weigh about 4 ounces. a 4 - week - old kitten would likely weigh about 3.5 ounces.

Explanation:

Step1: Analyze the equation \(y = 3.5x+4\)

In the linear equation \(y = mx + b\) (where \(m\) is the slope and \(b\) is the \(y -\)intercept), for the equation \(y=3.5x + 4\), when \(x = 0\) (new - born kitten, age \(x = 0\) weeks), we substitute \(x = 0\) into the equation.

$$y=3.5\times0 + 4$$

$$y = 4$$

Step2: Analyze the second statement

For a 4 - week - old kitten, \(x = 4\). Substitute \(x = 4\) into the equation \(y=3.5x + 4\)

$$y=3.5\times4+4$$

$$y = 14 + 4$$

$$y=18$$

(not \(3.5\))

Answer:

A newborn kitten would likely weigh about 4 ounces.