6. One business charges $12 per t-shirt custom made.%0D%0A%0D%0AAnother business charges $11 per t-shirt plus a $20 set up fee for custom made.%0D%0A%0D%0AIf you were to graph both of these scenarios on the coordinate plane, the first graph would be proportional and the second non proportional. %0D%0A%0D%0AHow would you transform the first graph to make it become a non proportional graph with the same y-intercept as the second graph?%0D%0A%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0ARight 1%0D%0ARight 1%0D%0A%0D%0A Right 20%0D%0A Right 20%0D%0A%0D%0ALeft 1%0D%0ALeft 1%0D%0A%0D%0AUp 1%0D%0AUp 1%0D%0A%0D%0ALeft 20%0D%0ALeft 20%0D%0A%0D%0AUp 20%0D%0AUp 20
To transform the first graph to make it become a non-proportional graph with the same y-intercept as the second graph, you would need to add a fixed fee to each point on the first graph. In this case, the fixed fee is $20.
So, for each point (x, y) on the first graph, you would transform it to (x, y+20) on the non-proportional graph. This means moving each point on the first graph upward by 20 units.
To transform the first graph to make it non-proportional with the same y-intercept as the second graph, you would need to increase the slope of the line. In this case, the first graph represents a linear relationship with a slope of $12 per t-shirt.
To transform it, you could increase the slope by adding a fixed amount to the cost per t-shirt. Since the second graph has a slope of $11 per t-shirt plus a $20 set up fee, you would need to add $9 ($11 - $12) to the cost per t-shirt in the first graph.
Therefore, to transform the first graph to make it non-proportional with the same y-intercept as the second graph, you would add $9 to the cost per t-shirt.
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 fixed cost component to the first graph. Currently, the first graph represents a proportional relationship where the cost per t-shirt is $12.
The second graph includes a set-up fee of $20 in addition to the cost per t-shirt. To make the first graph non-proportional with the same y-intercept, we need to add the same fixed cost of $20 to each point on the first graph.
To do this, we need to shift the first graph vertically upwards by 20 units. This can be achieved by adding 20 to the y-coordinate of each point on the first graph. This transformation will ensure that both graphs have the same y-intercept.
Let's take an example point from the first graph: (0, 12). To transform this point, we add 20 to the y-coordinate:
(0, 12) + (0, 20) = (0, 32)
So, the transformed point would be (0, 32).
Similarly, we can apply this transformation to all the points on the first graph. After the transformation, the first graph will be a non-proportional graph with the same y-intercept as the second graph.