Nick and his cousin Sara have the same birthday but Nick is four year older that’s Sara. Let the variable x represent nicks age and y represent Sara’s age which graph represents the relationship between nicks and Sara’s age
To represent the relationship between Nick's and Sara's age, we can use a scatter plot with age on the x-axis and y-axis.
One possible graph may look like this:
- The x-axis represents Nick's age (variable x), ranging from 0 to some maximum value.
- The y-axis represents Sara's age (variable y), also ranging from 0 to the same maximum value.
Since Nick is four years older than Sara, the data points on the graph would fall along a straight line, roughly parallel to the y-axis and passing through the point (4, 0). This line represents the relationship: for every point on the line, the x-coordinate (Nick's age) is four units greater than the y-coordinate (Sara's age).
If we have additional information about the specific ages of Nick and Sara, we can plot the exact data points on the graph to create a more accurate representation.
The relationship between Nick's age (x) and Sara's age (y) can be represented by a linear equation, given that Nick is four years older than Sara.
We can write the equation as follows:
x = y + 4
Now, let's graph this equation. The x-axis will represent Nick's age, and the y-axis will represent Sara's age.
To start, we can assume an arbitrary age for Sara, let's say y = 10. Plugging it into the equation, we find:
x = 10 + 4
x = 14
So, when Sara is 10 years old, Nick would be 14 years old. This point would be (14, 10) on the graph.
Now, let's assume another arbitrary age, say y = 5. Plugging it into the equation, we find:
x = 5 + 4
x = 9
So, when Sara is 5 years old, Nick would be 9 years old. This point would be (9, 5) on the graph.
By plotting several points like this, we can connect them with a straight line. This line represents the relationship between Nick and Sara's ages.
The graph will have a positive slope of 1 (since for every 1 unit increase in Sara's age, Nick's age increases by 1 unit). The line will intersect the y-axis at (0, 4) since when Sara is born (y = 0), Nick would already be 4 years old.
So, the graph of the relationship between Nick and Sara's ages would be a straight line with a positive slope of 1, and it will intersect the y-axis at (0, 4).
To represent the relationship between Nick's age (x) and Sara's age (y), we need to consider that Nick is four years older than Sara. This means that if we assume Nick's age is x, then Sara's age would be x - 4.
Now, we can plot this relationship on a graph. The x-axis will represent Nick's age (x), and the y-axis will represent Sara's age (y). We can choose any suitable scale for the axes based on the range of possible ages.
To draw the graph:
1. Start by labeling the x-axis as "Nick's Age (x)" and the y-axis as "Sara's Age (y)."
2. Choose coordinates on the graph to represent the ages of Nick and Sara. For example, let's assume Nick is 10 years old, so we can mark the point (10, 6) on the graph. Here, x = 10 and y = 10 - 4 = 6.
3. Connect this point to other possible points that satisfy the condition of Nick being four years older than Sara. For instance, if Nick is 20 years old, then Sara would be 20 - 4 = 16. So, we can plot the point (20, 16) and connect it to the previous point.
4. Continue this process to plot more points and draw a line connecting them. Each point on the line will represent a pair of Nick's and Sara's age that satisfy the condition.
In summary, the graph will show a straight line with a positive slope, passing through points representing different possible ages for Nick and Sara, where Sara's age is always four years less than Nick's age.