Answer:
for anyone in the future that needs this the answer is The rule (x,y) ----> (x+2, y-4) represents a translation 2 units RIGHT and 4 units DOWN
Step-by-step explanation:
<h3><u>Question:</u></h3>
Isabella’s rain gauge showed 3 4/5 centimeters (cm) last Tuesday. This Tuesday, the rain gauge showed 5 7/10 centimeters. How many more centimeters of rain fell during the week?
A 9 1/2cm B 8 1/2cm c 2 4/5cm D 1 9/10 cm
<h3><u>Answer:</u></h3>
Option D
more centimeters of rain fell during this week than last week
<h3><u>Solution:</u></h3>
From given,
![Last\ tuesday = 3\frac{4}{5}\ cm\\\\Convert\ to\ improper\ fraction\\\\Last\ tuesday = \frac{5 \times 3 + 4}{5} = \frac{19}{5}\ cm](https://tex.z-dn.net/?f=Last%5C%20tuesday%20%3D%203%5Cfrac%7B4%7D%7B5%7D%5C%20cm%5C%5C%5C%5CConvert%5C%20to%5C%20improper%5C%20fraction%5C%5C%5C%5CLast%5C%20tuesday%20%3D%20%5Cfrac%7B5%20%5Ctimes%203%20%2B%204%7D%7B5%7D%20%3D%20%5Cfrac%7B19%7D%7B5%7D%5C%20cm)
Also given that,
![This\ tuesday = 5\frac{7}{10}\ cm = \frac{10 \times 5 + 7}{10} = \frac{57}{10}\ cm](https://tex.z-dn.net/?f=This%5C%20tuesday%20%3D%205%5Cfrac%7B7%7D%7B10%7D%5C%20cm%20%3D%20%5Cfrac%7B10%20%5Ctimes%205%20%2B%207%7D%7B10%7D%20%3D%20%5Cfrac%7B57%7D%7B10%7D%5C%20cm)
<em><u>How many more centimeters of rain fell during the week?</u></em>
![This\ tuesday - last\ tuesday = \frac{57}{10} - \frac{19}{5}\\\\This\ tuesday - last\ tuesday = \frac{57}{10} - \frac{19 \times 2}{5 \times 2}\\\\This\ tuesday - last\ tuesday = \frac{57-38}{10}\\\\This\ tuesday - last\ tuesday = \frac{19}{10}\\\\Converting\ to\ mixed\ fraction\\\\\rightarrow \frac{19}{10} = 1\frac{9}{10}](https://tex.z-dn.net/?f=This%5C%20tuesday%20-%20last%5C%20tuesday%20%3D%20%5Cfrac%7B57%7D%7B10%7D%20-%20%5Cfrac%7B19%7D%7B5%7D%5C%5C%5C%5CThis%5C%20tuesday%20-%20last%5C%20tuesday%20%3D%20%5Cfrac%7B57%7D%7B10%7D%20-%20%5Cfrac%7B19%20%5Ctimes%202%7D%7B5%20%5Ctimes%202%7D%5C%5C%5C%5CThis%5C%20tuesday%20-%20last%5C%20tuesday%20%3D%20%5Cfrac%7B57-38%7D%7B10%7D%5C%5C%5C%5CThis%5C%20tuesday%20-%20last%5C%20tuesday%20%3D%20%5Cfrac%7B19%7D%7B10%7D%5C%5C%5C%5CConverting%5C%20to%5C%20mixed%5C%20fraction%5C%5C%5C%5C%5Crightarrow%20%5Cfrac%7B19%7D%7B10%7D%20%3D%201%5Cfrac%7B9%7D%7B10%7D)
Thus
more centimeters of rain fell during this week than last week