One business charges $12 per t-shirt custom made.

Question

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

Right 1
Right 1

Up 20
Up 20

Left 1
Left 1

Up 1
Up 1

Left 20

Answer 1

To transform the first graph (which is a proportional relationship) to become a non-proportional graph with the same y-intercept as the second graph, you would need to account for the $20 setup fee in the second business's pricing model, which makes its y-intercept non-zero.

Since the first graph represents the equation \(y = 12x\) (where \(y\) is the total cost for \(x\) t-shirts), the y-intercept of this equation is 0.

To change this to match the y-intercept of the second graph, which has a y-intercept of $20 (when no t-shirts are ordered, the cost is the setup fee), you need to shift the first graph upward by $20.

Thus, you would need to choose the transformation:

Up 20