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 5 6 7 8 9
Let x represent Ty's age and y represent Bea's age. Choose the correct equation below.
y=x-4
y=x+4
y=4x
x+y=4
The correct equation for the relationship between Ty's age (x) and Bea's age (y) is: y = x + 4
To represent the relationship between Ty and Bea's ages using a table, equation, and a graph, we can use the given information from the problem:
Ty's Age (x): 1 2 3 4 5
Bea's Age (y): 5 6 7 8 9
Table Representation:
___________
| x | y |
|---|---|
| 1 | 5 |
| 2 | 6 |
| 3 | 7 |
| 4 | 8 |
| 5 | 9 |
As we can see, Ty is always 4 years younger than Bea. Therefore, for each age of Ty, we can find the corresponding age of Bea by adding 4.
Equation Representation:
The correct equation is:
y = x + 4
This equation reflects that Bea's age (y) is equal to Ty's age (x) plus 4 (since Ty is 4 years younger than Bea).
Graph Representation:
When we plot the points from the table on a graph where x represents Ty's age and y represents Bea's age, we get a straight line upward with a positive slope.
By connecting these points on the graph, we can see that the line passes through them, indicating the relationship between the ages of Ty and Bea.