Use a table, an equation, and a graph to represent the relationship below.
Ty is 4 years younger than Bea.
Ty's and Bea's Ages (years)
Ty's Age 1 2 3 4 5
Bea's Age
Ty's Age 1 2 3 4 5
Bea's Age 5 6 7 8 9
Equation: Ty's Age = Bea's Age - 4
Graph:
Bea's Age
9 |
8 |
7 | *
6 | *
5 | *
--------------------------
1 2 3 4 5 Ty's Age
To represent the relationship between Ty's and Bea's ages using a table, equation, and a graph, we can follow these steps:
1. Table: Create a table to represent the relationship between Ty's and Bea's ages.
| Ty's Age | Bea's Age |
|----------|-----------|
| 1 | 5 |
| 2 | 6 |
| 3 | 7 |
| 4 | 8 |
| 5 | 9 |
2. Equation: Let's assume Bea's age is represented by B, and Ty's age is represented by T. We know that Ty is 4 years younger than Bea, so the equation representing their relationship would be:
T = B - 4
3. Graph: We can plot the points from the table on a graph by setting Ty's age on the x-axis (horizontal) and Bea's age on the y-axis (vertical). The points would fall on a line that has a negative slope of -1 (since for every increase in Ty's age by 1, Bea's age increases by 1 more). The graph would look like this:
```
|
10 |
|
9 |
|
8 | ●
|
7 | ●
|
6 | ●
|
5 | ●
|_________________
1 2 3 4 5
```
In this graph, each point represents the age of Ty and Bea at a specific time (e.g., the point (1, 5) indicates that Ty is 1 year old and Bea is 5 years old). The line represents the relationship between their ages.