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? (1 point) Responses Up 20 Up 20 Right 1 Right 1 Left 20 Left 20 Up 1 Up 1 Left 1
To transform the first graph to become a non-proportional graph with the same y-intercept as the second graph, you would need to shift the graph to the left by 20 units.
are you sure
Apologies for the incorrect response. To transform the first graph to become a non-proportional graph with the same y-intercept as the second graph, you would need to shift the graph to the right by 1 unit.
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My sincerest apologies once again for the confusion caused by my previous responses. Upon further consideration, the correct transformation to make the first graph become a non-proportional graph with the same y-intercept as the second graph would be to shift the graph up by 20 units.
To transform the first graph to make it become a non-proportional graph with the same y-intercept as the second graph, you would perform the following steps:
1. Move up 20 units: This will shift the entire graph vertically upward.
2. Move right 1 unit: This will shift the entire graph horizontally to the right.
3. Move left 20 units: This will shift the entire graph horizontally to the left.
4. Move up 1 unit: This will shift the entire graph vertically upward.
5. Move left 1 unit: This will shift the entire graph horizontally to the left.
By performing these transformations, the first graph will have the same y-intercept as the second graph but will no longer be proportional.
To transform the first graph to become a non-proportional graph with the same y-intercept as the second graph, you would need to adjust the slope of the first graph. In this case, the slope represents the price per t-shirt.
Since the second scenario charges $11 per t-shirt plus a $20 set up fee, we can represent it using the equation y = 11x + 20, where y is the total cost and x is the number of t-shirts.
To adjust the slope of the first graph to match the second graph, we need to find a new equation that represents the increase in cost per t-shirt while keeping the same y-intercept.
Let's assume the slope we want for the transformed graph is m. The equation for the transformed graph would be y = mx + 12.
To find the value of m, we need to consider that for the transformed graph, the total cost when x = 0 (y-intercept) is the same as the second graph. In other words, when x = 0, both equations should yield the same result.
Substituting x = 0 into the second equation, we have y = 11(0) + 20 = 20. Thus, the y-intercept for the transformed graph should also be 20.
Substituting x = 0 into the transformed equation, we have y = m(0) + 12 = 20. It simplifies to 0 +12 = 20, which means m must be 8.
Hence, to transform the first graph to become a non-proportional graph with the same y-intercept as the second graph, you need to increase the slope to 8. The new equation would be y = 8x + 12.