Question

Debra is seven years younger than her sister, Pam. The table represents the relationship. Which is the equation representing the relationship between their ages?

(x) (y)

9 2
11 4
13 6
15 8

1. y = x - 2

2. y = 7x

3. y = x + 7

4.y = x - 7

y = x + 2

Answer 1

Answer: y = x - 2

Explanation:

The equation representing the relationship between the ages of Debra and Pam is y = x + 2. This is determined by analyzing the table provided, which shows the ages of Pam (x) and Debra (y) in years. From the table, we can see that for every 1 year increase in Pam's age, Debra's age also increases by 1 year. This is represented in the equation y = x + 2, where y (Debra's age) is equal to x (Pam's age) plus 2 years. This equation is supported by the data in the table, as all of the ordered pairs (x, y) in the table satisfy the equation y = x + 2.