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:
- If Kayla spends $1, she tosses 7 rings.
- If Kayla spends $2, she tosses 14 rings (2 * 7).
- If Kayla spends $3, she tosses 21 rings (3 * 7).
- If Kayla spends $4, she tosses 28 rings (4 * 7).
- 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:
- X-axis: Represents Cost in dollars
- 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).
3 answers