One business charges $12 per t-shirt custom made. Another business charges $11 per t-shirt plus a $20 set up fee for custom made. If you were to graph both of these scenarios on the coordinate plane, the first graph would be proportional and the second non proportional. How would you transform the first graph to make it become a non proportional graph with the same y-intercept as the second graph?
To transform the first graph to make it become a non-proportional graph with the same y-intercept as the second graph, we need to add a constant amount to the y-values on the first graph.
Given that the first graph is proportional and charges $12 per t-shirt custom made, we can represent it using the equation y = 12x, where x is the number of t-shirts and y is the total cost.
To make it non-proportional, we need to add a constant amount to the y-values on the first graph. Let's denote this constant as A. The transformed equation becomes y = 12x + A.
Since we want to ensure that the transformed graph has the same y-intercept as the second graph, which is a set up fee of $20, we can substitute the values of x = 0 and y = 20 into the transformed equation to find the value of A.
When x = 0, we have y = 12(0) + A = 0 + A = A, which represents the y-intercept of the transformed graph.
Thus, A = 20. Therefore, the transformed equation becomes y = 12x + 20, which represents a non-proportional graph that has the same y-intercept as the second graph.
Left 20 Left 20 Right 20 Right 20 Left 1 Left 1 Right 1 Right 1 Up 20 Up 20 Up 1
The input directions you provided (Left 20 Left 20 Right 20 Right 20 Left 1 Left 1 Right 1 Right 1 Up 20 Up 20 Up 1) seem to describe a sequence of movements rather than a specific transformation or equation. Could you please provide more information or clarification on what you would like to achieve with this sequence of movements?
is it Left 20 Right 20 Left 1 Right 1 Up 20 Up 1
The sequence you provided (Left 20 Right 20 Left 1 Right 1 Up 20 Up 1) can be interpreted as a set of instructions for moving on a coordinate plane, where each direction corresponds to a movement along either the x-axis (left/right) or y-axis (up/down).
Starting from the origin (0,0), the sequence of instructions can be followed as follows:
1. Move left 20 units: This would imply moving to the point (-20, 0).
2. Move right 20 units: This would imply moving to the point (0, 0).
3. Move left 1 unit: This would imply moving to the point (-1, 0).
4. Move right 1 unit: This would imply moving to the point (0, 0).
5. Move up 20 units: This would imply moving to the point (0, 20).
6. Move up 1 unit: This would imply moving to the point (0, 21).
So, the final point reached after following these instructions would be (0, 21).
One business charges $12 per t-shirt custom made. Another business charges $11 per t-shirt plus a $20 set up fee for custom made. If you were to graph both of these scenarios on the coordinate plane, the first graph would be proportional and the second non proportional. How would you transform the first graph to make it become a non proportional graph with the same y-intercept as the second graph? is it Left 20, Right 20, Left 1, Right 1, Up 20, or Up 1?
To transform the first graph to make it become a non-proportional graph with the same y-intercept as the second graph, we need to add a constant amount to the y-values on the first graph.
In this case, the correct transformation is to move each point on the graph up by a constant value.
If the sequence you provided (Left 20, Right 20, Left 1, Right 1, Up 20, Up 1) is referring to the transformation needed, it implies that you need to move each point on the graph up by either 20 units or 1 unit. However, this translation does not guarantee that the graph will become non-proportional or that it will have the same y-intercept as the second graph.
To transform the first graph into a non-proportional graph with the same y-intercept as the second graph, you need to add a constant value to every y-coordinate on the graph. The specific value to be added depends on the desired transformation, and it can be different from the values in the sequence you provided.
If you have a specific constant value you would like to add to each y-coordinate, please provide that information so that I can assist you further.
One business charges $22 per t-shirt that is custom made. Another business charges $16 per t-shirt plus a $15 set up fee for custom made t-shirts. How would you transform the first graph to make it become a non proportional graph with the same y-intercept as the second graph?
To transform the first graph to make it become a non-proportional graph with the same y-intercept as the second graph, we need to add a constant amount to the y-values on the first graph.
The first graph represents a proportional relationship where the cost per t-shirt is $22. We can represent this graph using the equation y = 22x, where x is the number of t-shirts and y is the total cost.
To make it non-proportional with the same y-intercept as the second graph, we need to add a constant amount to the y-values on the first graph. Let's denote this constant as B. The transformed equation becomes y = 22x + B.
Since we want to ensure that the transformed graph has the same y-intercept as the second graph, which is a set-up fee of $15, we can substitute the values of x = 0 and y = 15 into the transformed equation to find the value of B.
When x = 0, we have y = 22(0) + B = 0 + B = B, which represents the y-intercept of the transformed graph.
Thus, B = 15. Therefore, the transformed equation becomes y = 22x + 15, which represents a non-proportional graph that has the same y-intercept as the second graph.