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: Recall the slope - intercept form of a 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 the weight (in pounds) and \(y\) represents the number of seeds.

Step2: Interpret the slope

The slope \(m = 15\). The slope \(m=\frac{\Delta y}{\Delta x}\). Here, \(\Delta y\) is the change in the number of seeds and \(\Delta x\) is the change in weight. So, when \(\Delta x = 1\) (an additional pound of weight), \(\Delta y=15\) (an additional 15 seeds).

Answer:

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