Eric was rock climbing. At one point, he stopped and climbed straight down 2 1/2 METERS. Then he climbed straight up 6 3/4 meters Eric was wondering what his change in elevation was after these two moves.

Accepted Solution

Answer:[tex]+4\frac{1}{4}[/tex] metersStep-by-step explanation:Let's take climbing down as "negative" and climbing up as "positive". Now, we can simply use the numbers and signs to find the change in elevation.[tex]2\frac{1}{2}[/tex] meters down means [tex]-2\frac{1}{2}[/tex][tex]6\frac{3}{4}[/tex]meters up means [tex]+6\frac{3}{4}[/tex]So, now we have:  [tex]-2\frac{1}{2}+6\frac{3}{4}\\=-\frac{5}{2}+\frac{27}{4}\\=\frac{-5(2)+27}{4}\\=\frac{-10+27}{4}\\=\frac{17}{4}=4\frac{1}{4}[/tex]Eric's elevation changed  [tex]4\frac{1}{4}[/tex] meters above. So after the 2 moves, he is up by  [tex]4\frac{1}{4}[/tex] meters.