Question

(b) a certain arcade game gives players tickets. the table below shows the number of tickets a player gets for the number of points.

tickets	27	54	72

choose the correct description.

• each point does not always give the same number of tickets.
• each point appears to give the same number of tickets.

predicted number of points that give 81 tickets: \boxed{

Explanation:

Step1: Check the ratio of tickets to points

For the first pair: $\frac{27}{3} = 9$
For the second pair: $\frac{54}{6} = 9$
For the third pair: $\frac{72}{8} = 9$
So each point gives 9 tickets.

Step2: Find points for 81 tickets

Let the number of points be $x$. We know $\frac{81}{x} = 9$. Solving for $x$, we get $x=\frac{81}{9}=9$.

Answer:

Each point appears to give the same number of tickets.
Predicted number of points that give 81 tickets: 9