Q:

Nathan and his brother Zach love to play video games. Rightofeach love to play video games. Right now, Nathan's score is 11 less than 2 times Zac's scoreexample, if Zach has 80 points, then Nathan has 149 points. Find four more possibilities for the brotheout more possibilities for the brothers' scores and finithe table below Then write a rote relating than's score N. Zachy's score, Z.

Accepted Solution

A:
Answer:[tex]N=2Z-11[/tex][tex]\begin{array}{cc}\text{Zac's score}&\text{Natan's score}\\ 6&1\\7&3\\8&5\\9&7\end{array}[/tex]Step-by-step explanation: Nathan's score is 11 less than 2 times Zac's score. Let Z points be Zac's score and N points be Natan's score. then 2 times Zac's score = 2Z11 less than 2 times Zac's score = 2Z -11So, N = 2Z - 111. If Z=6, then [tex]N=2\cdot 6-11=12-11=1[/tex]2. If Z=7, then [tex]N=2\cdot 7-11=14-11=3[/tex]3. If Z=8, then [tex]N=2\cdot 8-11=16-11=5[/tex]4. If Z=9, then [tex]N=2\cdot 9-11=18-11=7[/tex]Thus, four other possibilities are[tex]\begin{array}{cc}\text{Zac's score}&\text{Natan's score}\\ 6&1\\7&3\\8&5\\9&7\end{array}[/tex]