Question

(a) a certain arcade game gives players tickets. the table below shows the number of tickets a player gets for the number of points.
tickets 28 49 63
points 4 7 9
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 70 tickets:

Explanation:

Step1: Calculate tickets per point

$\frac{28}{4}=7$, $\frac{49}{7}=7$, $\frac{63}{9}=7$

Step2: Evaluate the descriptions

All ratios equal 7, so each point gives the same tickets.

Step3: Find points for 70 tickets

Let $x$ = points. $\frac{70}{x}=7 \implies x=\frac{70}{7}=10$

Answer:

Correct description: Each point appears to give the same number of tickets.
Predicted number of points that give 70 tickets: 10