Question

pumpkins
the equation for the line of best fit is ( y = 15x + 2 ). according to the equation, which of these statements is true?
there are about 15 additional seeds for every additional pound of weight.
there are about 15 additional seeds for every additional two pounds of weight.

Explanation:

Step1: Analyze the linear equation

The equation of a line is \(y = mx + b\), where \(m\) is the slope and \(b\) is the y - intercept. In the given equation \(y = 15x+2\), \(x\) represents weight (in pounds) and \(y\) represents the number of seeds.

Step2: Interpret the slope

The slope \(m = 15\). The slope in a linear relationship \(y=mx + b\) represents the rate of change of \(y\) with respect to \(x\). Here, the rate of change of the number of seeds (\(y\)) with respect to weight (\(x\)) is given by \(\frac{\Delta y}{\Delta x}=m\). So, when \(\Delta x = 1\) (an additional pound of weight), \(\Delta y=15\) (15 additional seeds).

Answer:

There are about 15 additional seeds for every additional pound of weight.