Question

Nathan and his brother Zach love to play video games. Right

of
each love to play video games. Right now, Nathan's score is 11 less than 2 times Zac's score
example, if Zach has 80 points, then Nathan has 149 points. Find four more possibilities for the brothe
out more possibilities for the brothers' scores and fini
the table below Then write a rote relating than's score N. Zachy's score, Z.

Answer 1

`N=2Z-11`

`\begin{array}{cc}\text{Zac's score}&\text{Natan's score}\\ 6&1\\7&3\\8&5\\9&7\end{array}`

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 = 2Z

11 less than 2 times Zac's score = 2Z -11

So, N = 2Z - 11

1. If Z=6, then
`N=2\cdot 6-11=12-11=1`

2. If Z=7, then
`N=2\cdot 7-11=14-11=3`

3. If Z=8, then
`N=2\cdot 8-11=16-11=5`

4. If Z=9, then
`N=2\cdot 9-11=18-11=7`

Thus, four other possibilities are

`\begin{array}{cc}\text{Zac's score}&\text{Natan's score}\\ 6&1\\7&3\\8&5\\9&7\end{array}`