Pearson Algebra 1 Common Core, 2011
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Pearson Algebra 1 Common Core, 2011 View details
9. Patterns, Equations, and Graphs
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Exercise 17 Page 64

Use the points you create in the table to help you form your equation and graph.

Table:

Bea's Age 4 5 6 7
Ty's Age 1 2 3 4

Equation: y=x-3
Graph:

Practice makes perfect

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.