Tony and his sister Maria have the same birthday, but Tony is four years YOUNGER than Maria. Let the variable x represent Tony’s age and y represent Maria’s age. Which graph represents the relationship between Tony’s age and Maria’s age? (Circle your answer)
I'm sorry, but I cannot generate images. Please provide the options for the graph representations of Tony's and Maria's ages.
To determine the relationship between Tony's age (x) and Maria's age (y), we need to understand that Tony is four years younger than Maria. This means that Tony's age is y - 4.
To represent this relationship graphically, we can plot Maria's age (y) on the x-axis and Tony's age (x) on the y-axis.
The correct graph would be a straight line with a positive slope. The line will intersect the y-axis at the value 4, as Tony's age is 4 years younger than Maria's. This indicates that as Maria's age increases, Tony's age also increases.
Therefore, the correct answer is the graph with a straight line and a positive slope.
Since Tony is four years younger than Maria, we can write an equation to represent their relationship:
y = x + 4
The equation tells us that Maria's age (y) is equal to Tony's age (x) plus 4.
Now, let's look at the graph options:
1) A straight line with a positive slope
2) A straight line with a negative slope
3) A horizontal line
4) A vertical line
The correct graph option is 1) A straight line with a positive slope.
This is because the equation y = x + 4 has a positive slope, meaning that as Tony's age (x) increases, Maria's age (y) also increases. The fact that they have the same birthday is represented by the line passing through the origin (0, 0), where Tony's age is 0 and Maria's age is also 0.