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

Answer 1

To transform the first graph, which represents the cost of the t-shirts at $12 per shirt (a proportional relationship), into a non-proportional graph that has the same y-intercept as the second graph (which has a $20 setup fee), you need to add a fixed cost that represents that setup fee.

The first graph can be described by the equation: \[ y = 12x \] where \( y \) is the total cost and \( x \) is the number of t-shirts.

To make this a non-proportional graph with the same y-intercept as the second business (which charges \( y = 11x + 20 \) and has a y-intercept of 20), you would need to add a constant of 20 to the first graph's equation.

Thus, the transformation would be: \[ y = 12x + 20 \]

This transformation represents moving the graph up by 20 units, which gives it the same y-intercept as the second graph.

Therefore, the answer is: Up 20.