Question

for parts (a) and (b) below, choose the correct description. fill in the blanks as necessary. (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: (b) a local store is selling fresh tuna. the table below shows the price for the amount of tuna. amount of tuna (in pounds) 2 3 7 price (in dollars) 10 15 28 choose the correct description. the price for each pound of tuna is not always the same. the price for each pound of tuna appears to be the same. predicted price for 8 pounds of tuna: $

Explanation:

Part (a)

Step 1: Check ticket per point ratio

For the first pair: $\frac{28}{4} = 7$.
For the second pair: $\frac{49}{7} = 7$.
For the third pair: $\frac{63}{9} = 7$.
All ratios are equal (7 tickets per point).

Step 2: Predict points for 70 tickets

Let $x$ be points. Since tickets = $7 \times$ points, solve $70 = 7x$.
$x = \frac{70}{7} = 10$.

Step 1: Check price per pound ratio

For the first pair: $\frac{10}{2} = 5$.
For the second pair: $\frac{15}{3} = 5$.
For the third pair: $\frac{28}{7} = 4$.
Ratios are not equal (5, 5, 4), so price per pound is not always same.

Step 2: (Note: Since ratios are inconsistent, prediction is not straightforward with a constant rate. But if we assume a trend, but the problem likely expects checking the rates. However, the first two have rate 5, third 4. But the question's "predicted price" might have a typo or expects using the first two? Wait, no—wait, 28/7 is 4, which is different. Wait, maybe a miscalculation? Wait 74=28, yes. 25=10, 35=15, 74=28. So rates are 5,5,4. So the price per pound is not always same.

Answer:

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

Part (b)