Question

examine the graph and consider trips more than 7,000 miles by a boeing 777. use a rate of change to estimate how the maximum payload decreases as the distance traveled increases.

Explanation:

Step1: Identify two points on the line - segment

Let's take two points on the slanted part of the graph. The first point is approximately $(7000, 120000)$ and the second point is $(15000,0)$.

Step2: Use the rate - of - change formula

The rate of change formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$, where $(x_1,y_1)$ and $(x_2,y_2)$ are two points. Here, $x_1 = 7000$, $y_1=120000$, $x_2 = 15000$ and $y_2 = 0$.
\[m=\frac{0 - 120000}{15000 - 7000}=\frac{- 120000}{8000}=- 15\]

Answer:

$-15$ lb/mi