Question

Superman needs to save Lois from the clutches of Lex Luthor. After flying for 10 seconds, he is 1510 meters from her. Then at 14 seconds he is 1274 meters from her. What is Superman's average rate? How far does Superman fly every 6 seconds?
How close to Lois is Superman after 20 seconds?


This is pertaining to Slope and rate of change

Answer 1

Every one second 59 meters
Every 6 seconds 354 meters
He will have traveled 1180 meters in 20 seconds
Plug that in^

Answer 2

\(\large {\bf \begin{array}{ccllll}
x&y
\\\hline\\
{\color{red}{ 10}}&{\color{blue}{ 1510}}\\
{\color{red}{ 14}}&{\color{blue}{ 1274}}
\end{array}
\qquad
slope = {\color{green}{ m}}= \cfrac{rise}{run} \implies \cfrac{{\color{blue}{ y_2}}-{\color{blue}{ y_1}}}{{\color{red}{ x_2}}-{\color{red}{ x_1}}}\impliedby rate
}\)