Answer:
(0,0) it's also the origin.
Answer:
n = (-1000/3)p + (97000)/3)
Step-by-step explanation:
The data given says, in effect, that the linear equation based on price passes through 2 points (82, 5000) and (91, 2000), given two points on a line, we'll use the point-slope form to start. To use this we must first find the slope
m = (y2 - y1) / (x2 - x1) = (2000 - 5000) / (91 - 82) = -3000 / 9 = -1000/3
(I like to leave slopes as fractions <rather than decimal> since fractions are more accurate)
point-slope form
y - y0 = m(x - x0) at some point (x0, y0) with slope m, we'll use (91, 2000)
y - 2000 = (-1000/3)(x - 91), distribute
y - 2000 = (-1000/3)x + 91000/3, add 2000 to each side
y = (-1000/3)x +97000/3
oops, substitute p for x and n for y
n = (-1000/3)p + (97000)/3)
The zeros of the function are also called the roots. Thus, this problem is basically locating the root of the given equation.
To locate the roots, we equate the equation f(x) to 0.
We then dissect each term to identify a, b, and c in the quadratic equation formula:
x = (- b +- √(b²-4ac))/2a
a = 2
b = 8
c = -3
x1 = 0.3452
x2 = -4.345
100,000/63 = 1587.3
63 goes into 100,000 approximately 1587 times
hope this helps
