Use a table, an equation, and a graph to represent the relationship below. Ty is 4 years younger than Bea.
Complete the table below. Ty's and Bea's Ages (years) Ty's Age 1 2 3 4 Bea's Age 5 6 7 8 5 сл 9
Let x represent Ty's age and y represent Bea's age. Choose the correct equation below.
OA. x + y = 4 OB. y = 4x O c. y = x + 4 D. y = x - 4
Looking at the table, we can see that for each value of Ty's age, Bea's age is 4 years older. This means that we can represent the relationship between their ages using the equation:
y = x + 4
Where y represents Bea's age and x represents Ty's age. This equation shows that Bea's age is equal to Ty's age plus 4.
Now we can complete the table using this equation:
Ty's Age (x) | Bea's Age (y)
1 | 5
2 | 6
3 | 7
4 | 8
To represent the relationship graphically, we can plot the points from the table on a graph. The x-axis represents Ty's age and the y-axis represents Bea's age. We can see that the points lie on a straight line:
(1, 5)
(2, 6)
(3, 7)
(4, 8)
This graph represents the relationship between Ty's and Bea's ages.
To represent the relationship between Ty and Bea's ages using a table, equation, and graph, we can start by completing the table:
Ty's and Bea's Ages (years)
Ty's Age: 1 2 3 4
Bea's Age: 5 6 7 8
The table shows that when Ty's age is 1, Bea's age is 5, and so on.
Now, let's use the table to find the equation that represents the relationship. We can see that for each value of Ty's age, Bea's age is always 4 more. This suggests that the equation representing the relationship should be y = x + 4.
Finally, let's create a graph to visualize the relationship. We can plot the points from the table, with Ty's age on the x-axis and Bea's age on the y-axis.
The points are (1, 5), (2, 6), (3, 7), and (4, 8).
Drawing a line passing through these points, we can see that it has a positive slope of 1 (indicating that Ty's age increases with Bea's age) and crosses the y-axis at (0, 4).
Based on these explanations, the correct equation that represents the relationship is:
C. y = x + 4