Question

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 20Up 20 Up 1 Up 1 Right 20 Right 20 Left 20 Left 20 Left 1 Left 1 Right 1 Right 1

Answer 1

To make the first graph, which is proportional (linear), into a non-proportional graph while keeping the same y-intercept as the second graph, you need to add a fixed amount in such a way that it will create a y-intercept different from zero.

The first graph represents the cost \(y = 12x\) (where \(x\) is the number of t-shirts), which passes through the origin (0,0). The second graph is represented by \(y = 11x + 20\), which has a y-intercept of 20.

To transform the first graph into a non-proportional graph with a y-intercept of 20, you can shift the entire graph upward by 20 units. This means you would change the equation to \(y = 12x + 20\).

So the correct transformation is:

Up 20.