Question

At a carnival game, it cost Kayla $4 to toss 28 rings. Fill out a table of equivalent ratios and plot the points on the coordinate axes provided.

Answer 1

To create a table of equivalent ratios based on Kayla's cost for tossing rings, we'll start with the information given: It costs $4 for 28 rings. We can express this as a ratio of cost to rings.

The ratio of cost to rings can be written as:

\[
\text{Cost : Rings} = 4 : 28
\]

To find equivalent ratios, we can simplify this ratio and also find other amounts. First, let's simplify:

\[
\frac{4}{28} = \frac{1}{7}
\]

This means for every $1 spent, Kayla tosses 7 rings. We can generate several equivalent ratios based on this. Here are a few examples:

1. If Kayla spends $1, she tosses 7 rings.
2. If Kayla spends $2, she tosses 14 rings (2 * 7).
3. If Kayla spends $3, she tosses 21 rings (3 * 7).
4. If Kayla spends $4, she tosses 28 rings (4 * 7).
5. If Kayla spends $5, she tosses 35 rings (5 * 7).

Now, we'll create a table of these equivalent ratios:

| Cost ($) | Rings |
|----------|-------|
| 1 | 7 |
| 2 | 14 |
| 3 | 21 |
| 4 | 28 |
| 5 | 35 |

### Plotting the Points

Now, let's plot these points on a coordinate graph. Each point is represented as (Cost, Rings).

- (1, 7)
- (2, 14)
- (3, 21)
- (4, 28)
- (5, 35)

On a coordinate axis:

1. **X-axis**: Represents Cost in dollars
2. **Y-axis**: Represents the number of Rings

#### Points to plot:
- Point (1, 7)
- Point (2, 14)
- Point (3, 21)
- Point (4, 28)
- Point (5, 35)

### Example Graph
In a typical graph, you'd label the x-axis from 0 to 6 and the y-axis from 0 to at least 40 to encompass all points. Each point plotted should form a straight line indicating the linear relationship between cost and the number of rings tossed.

Connect the points, and you should see a straight line indicating the ratio of cost to rings remains consistent (linear relationship).