Use a table, an equation, and a graph to represent the relationship below. Ty is 2 years younger than Bea.
Complete the table below.
Ty's and Bea's Ages (years)
Ty's Age 1 2 3 4 5
Bea's Age
Bea's Age 3 4 5 6 7
Ty's Age 1 2 3 4 5
Bea's Age 3 4 5 6 7
Equation: Ty's Age = Bea's Age - 2
Graph:
Bea's Age
^
7| .
6| .
5| . .
4| . .
3|. .
2|. .
1|________________________
1 2 3 4 5 Ty's Age
To complete the table, we need to determine Bea's age for each value of Ty's age. Since Ty is 2 years younger than Bea, we can subtract 2 from each value of Ty's age to find Bea's age.
Using this information, the completed table is as follows:
Ty's Age | Bea's Age
1 | 3
2 | 4
3 | 5
4 | 6
5 | 7
Now, let's represent this relationship using an equation.
Let x represent Ty's age, and let y represent Bea's age. Since Ty is 2 years younger than Bea, we can write the equation as follows:
y = x + 2
This equation states that Bea's age y is equal to Ty's age x plus 2.
Finally, let's represent the relationship using a graph. We can plot the values from the completed table on a coordinate plane, with Ty's age on the x-axis and Bea's age on the y-axis. Then, we can connect the plotted points to show the relationship between their ages.
The graph would look like a straight line sloping upwards with a slope of 1 (since the coefficient of x in the equation is 1) and the y-intercept at (0, 2).