Answer:
The value of n = -10
Step-by-step explanation:
Given the points
Finding the slope between (3, n) and (4,0)
As slope = 10
using the formula
Slope = [y₂ - y₁] / [x₂ - x₁]
so substituting the values
10 = [0 - n] / [4 - 3]
10 = -n / 1
10 = -n
n = -10
Therefore, the value of n = -10
<span>Using processing software (Excel) or even a decent scientific calculator. You input the values and generate the best fit cubic equation.
For number 1, the equation is
y = 8x10</span>⁻⁵ x³ - 0.0097 x² + 0.374 x + 1.083
where x is the number of years since 1900
y is the pounds cheese consumed
For number 2, the equation is
y = -3x10⁻⁵ x³ + 0.0028 x² + 0.2155 x + 1.7736
For number 3
P(-1) = 18
Slope = rise / run = Δy / Δx = (y2 - y1) / (x2 - x1) = [33 - 9] / [ (-10 - (-2)]
Slope = 24 / ( -8) = - 3
Answer: - 3
