From d7b0ad27fa9299d91d73a2569522a3d0c509e292 Mon Sep 17 00:00:00 2001
From: pfatheddin <156558883+pfatheddin@users.noreply.github.com>
Date: Sun, 24 Mar 2024 19:13:35 -0400
Subject: [PATCH] Update LinearApproximations3.tex

https://ximera.osu.edu/mooculus/linearApproximation/exercises/exerciseList/linearApproximation/exercises/LinearApproximations3

Changed the wording of a sentence and changed the format of an answer.
---
 linearApproximation/exercises/LinearApproximations3.tex | 8 ++++----
 1 file changed, 4 insertions(+), 4 deletions(-)

diff --git a/linearApproximation/exercises/LinearApproximations3.tex b/linearApproximation/exercises/LinearApproximations3.tex
index b261b2e0b..9df3e248f 100644
--- a/linearApproximation/exercises/LinearApproximations3.tex
+++ b/linearApproximation/exercises/LinearApproximations3.tex
@@ -69,16 +69,16 @@
 PE= \answer{16}\%.
 \]
 
-When $x$ changes from $a=2$ to $a+\Delta x = 2.8$, the change in $y$ is 
+When $x$ changes from $a=2$ to $a+\Delta x = 2.8$, the change in $y$ is (round to two decimal places)
 \[
-\Delta y = f\left(\answer{2.8}\right) - f\left(\answer{2}\right) = -\frac{4}{\answer{7}}.
+\Delta y = f\left(\answer{2.8}\right) - f\left(\answer{2}\right) = -\answer{.57}.
 \]
 Now in this case the \textbf{approximate} change in $y$ is
 \[
 \d{y} = f'\left(\answer{2}\right)\d{x} = \answer{-0.8}.
 \]
 
-The picture below shows the graph of $f$ along with the linear approximation to $f$ at $a=2$.  On this diagram are quantities labeled $A$, $B$, $C$, $D$, and $E$.  Correctly identify them below.
+The picture below shows the graph of $f$ along with the linear approximation to $f$ at $a=2$.  Identify the quantities, $A$, $B$, $C$, $D$, and $E$ labeled on the graph below.   
 
 \begin{image}
   \begin{tikzpicture}
@@ -163,4 +163,4 @@
 \end{multipleChoice}
 
 \end{exercise}
-\end{document}
\ No newline at end of file
+\end{document}