Answer:
A
Step-by-step explanation:
To find where Paula started, find the rate of change or slope in order to work backwards.
[tex]m = \frac{317.24 - 164.75}{12-25} =\frac{152.49}{-13} = -11.73[/tex]
This means -11.73 yards remaining on the ball for each inch knitted. The first point is at (12, 317.24) so work backwards 12 inches or 12*11.73 = 140.76.
This means it started at 317.24 + 140.76 = 458.
Answer:
A. 458
Step-by-step explanation:
Linear model equation:
y = m*x + h
where m is the slope of the line and h is the y-intercept.
Given 2 points (x1, y1) and (x2,y2) we can compute the slope as follows:
m = (y2 - y1)/(x2 - x1)
Replacing with (12, 317.24) and (25, 164.75):
m = (164.75 - 317.24)/(25 - 12) = -11.73
Replacing this value and point (12, 317.24) into the equation we get:
317.24 = -11.73*12 + h
h = 317.24 + 11.73*12
h = 458
then, the equation is y = -11.73*x + 458. At the beginning the number of square inches knitted is zero (x = 0) and the number of yards remaining is 458.
