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Table:
Bea's Age | 4 | 5 | 6 | 7 |
---|---|---|---|---|
Ty's Age | 1 | 2 | 3 | 4 |
Equation: y=x-3
Graph:
We are told that Ty is 3 years younger than Bea. This means that whatever age Bea is, we should subtract 3 from it to find Ty's age. Let's test a few of Bea's ages in a table of values and see how old Ty is at each of those. We will let the variable x represent Bea's age and the variable y will represent Ty's age.
Bea's Age | 4 | 5 | 6 | 7 | ... | x |
---|---|---|---|---|---|---|
Bea's Age -3 | 4-3 | 5-3 | 6-3 | 7-3 | ... | x-3 |
Ty's Age | 1 | 2 | 3 | 4 | ... | y |
Looking at our table, we can see that Ty's Age y is equal to 3 less than Bea's Age x. Let's use this verbal expression to construct an algebraic equation. Ty's age is 3 less than Bea's age y = x - 3 Now, we can use the points we determined in the table above to draw a graph. We will first plot the points, then draw a line connecting them. We can draw a line because a person's age can be any positive real number.