nick and his cousin sara have the same birthday but nick is two years younger than sara let the variable x represent nicks age and y represent saras age which graph represents the relationship between nicks age and saras age on a graph

Answer 1

The most appropriate graph to represent the relationship between Nick's age (x) and Sara's age (y) would be a straight line with a positive slope.

Explanation: Since Nick is two years younger than Sara, for any given age (x) of Nick, Sara's age (y) would be x + 2. The relationship can be directly represented as y = x + 2. In this equation, y is the dependent variable representing Sara's age, and x is the independent variable representing Nick's age.

Therefore, on a graph, Nick's age (x) would be plotted on the x-axis, and Sara's age (y) would be plotted on the y-axis. The resulting line would have a positive slope of 1 (which represents that Sara's age increases by 1 year for every 1 year increase in Nick's age) and a y-intercept of 2 (representing that Sara is 2 years older than Nick from the start).