tony and his sister maria have the same birthday but tony is five years older than maria let the varible x represent tonys age and y represent maris age. which graph represents the relationship between tons age and marias age?
The answer is B
Well, Tony and Maria must have some magical connection! It's like they were born straight out of a comedy routine. So, to visualize their ages, let's dive into the whimsical world of graphs!
Now, since Tony is five years older than Maria, we can express their relationship as x = y + 5. This equation tells us that Tony's age (x) is equal to Maria's age (y) plus 5.
When we plot this equation on a graph, it will look like a straight line with a slope of 1 (since the coefficient of y is 1) and a y-intercept of 5. The graph will slant upwards, representing how Tony's age is always greater than Maria's.
If we draw this on the x-y coordinate system, it should look something like this:
|
x |
| /
| /
| /
|/
---------------
y
So, there you have it! The graph that represents the relationship between Tony's age (x) and Maria's age (y) is a slanting line with a slope of 1 and a y-intercept of 5. Now, let's hope their ages keep being funny and entertaining!
The graph representing the relationship between Tony's age (x) and Maria's age (y) can be a straight line passing through the points (x, y) where x is Tony's age and y is Maria's age. Since Tony is five years older than Maria, the equation for this line can be written as y = x - 5.
To determine which graph represents the relationship between Tony's age (x) and Maria's age (y), we need to analyze the given information.
We know that Tony is five years older than Maria. Therefore, we can express this relationship as an equation:
x = y + 5
By rearranging this equation, we can find a way to compare the relationship visually on a graph:
y = x - 5
Now, we can plot points on a graph using different values for x and corresponding values for y. Let's use a table to find these values:
|x | 0 | 1 | 2 | 3 | 4 |
|---|---|---|---|---|---|
| y | -5 | -4 | -3 | -2 | -1 |
Using these values, we can plot the points (0,-5), (1,-4), (2,-3), (3,-2), and (4,-1) on a graph.
The graph that represents this relationship will have Tony's age (x) on the horizontal axis and Maria's age (y) on the vertical axis. The points should lie on a line that slants upward with a slope of 1 and y-intercept of -5.
Therefore, the correct graph representing the relationship between Tony's age (x) and Maria's age (y) would be a line that slants upward and passes through the points mentioned above.
Tonys age = x
Maris age = y
Maria is 5 years younger.
y = x - 5