Question

What is the average rate of change and feet per minute Between 11:05 AM and 11:08 AM

Answer 1

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

let's notice that between 11:05 and 11:08 there are 3 minutes, so we can take 11:05 as the 0 minutes and then 3 as 3 minutes later, so

`\begin{array}ll \cline{1-2} \stackrel{x}{minutes}&\stackrel{y}{feet}\\ \cline{1-2} 0&8000\\ 3&5400\\ \cline{1-2} \end{array}\hspace{5em} (\stackrel{x_1}{0}~,~\stackrel{y_1}{8000})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{5400}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{5400}-\stackrel{y1}{8000}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{0}}} \implies \cfrac{ -2600 }{ 3 } \implies - \cfrac{2600 }{ 3 }`

the slope is negative, because f(x) is decreasing as "x" is increasing.

Answer 2

It shows all the steps right here. Also the answer is A. 2600/3