Question

Lesson 12.03: Plot Twists Printable Assessment: Plot Twists Plot Twists Show your work. 1. Use the data set provided to create a line plot. Distance of Ski Trails (miles) 1 2 3 2 7 8 4 м 3 - - - - 2 8 1 8 8 -|+ 100 - mlo 2 2 7 8 -100 100-00 글 1 2 2 1 3 8 3 HH 士。 8 2. What is the total number of ski trails? 3. What is the difference in length between the longest ski trail and the shortest ski trail? 7 4. What is the total length of all the ski trails that are 2 miles long? 8 25 5. What is the sum of the lengths of the shortest and longest ski trails? 6. Sam says the longest ski trail is more than three times the length of the shortest ski trail. Eli says it is less than three times the length. Who is correct? Explain.

Answer 1

$\begin{gathered} 1.\text{The total number of }ski\text{ trails is 12} \\ 2.\text{ }longest\text{ ski trail =}3\frac{1}{4}=\frac{13}{4} \\ shortest\text{ ski trail =}1\frac{3}{8}=\frac{11}{8} \\ \frac{13}{4}-\frac{11}{8}=\frac{(13\cdot8)-(4\cdot11)}{(4\cdot8)}=\frac{104-44}{32}=\frac{60}{32}=\frac{15}{8} \\ \text{the difference in length is }\frac{15}{8} \\ 3.\text{ }there\text{ are 3 ski trail }that\text{ are 2}\frac{7}{8}miles \\ \text{2}\frac{7}{8}=\frac{23}{8} \\ \text{total length =3}\cdot\frac{23}{8}=\frac{69}{8}=8\frac{5}{8}miles \\ \text{the total length is }8\frac{5}{8}\text{miles} \\ 4.\text{ }longest\text{ ski trail =}3\frac{1}{4}=\frac{13}{4} \\ shortest\text{ ski trail =}1\frac{3}{8}=\frac{11}{8} \\ \frac{13}{4}+\frac{11}{8}=\frac{(13\cdot8)+(4\cdot11)}{(4\cdot8)}=\frac{104+44}{32}=\frac{148}{32}=\frac{37}{8} \\ \text{the SUM in length is }\frac{37}{8}\text{miles} \\ 5.\text{ } \\ longest\text{ ski trail =}3\frac{1}{4}=\frac{13}{4} \\ shortest\text{ ski trail =}1\frac{3}{8}=\frac{11}{8} \\ \frac{longest\text{ ski trail }}{shortest\text{ ski trai}}=\frac{13}{4}\frac{\cdot}{\cdot}\frac{11}{8}=\frac{13\cdot8}{4\cdot11}=\frac{104}{44}=\frac{26}{11}=2,36 \\ \text{Eli is correct because the longest ski trail is less than tr}ee\text{ times the legth of the shortest} \end{gathered}$