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

Left 20
Left 20

Up 20
Up 20

Right 20
Right 20

Left 1
Left 1

Right 1
Right 1

Up 1

Answer 1

To transform the first graph (which is a proportional relationship) into a non-proportional graph that has the same y-intercept as the second graph, you need to account for the $20 setup fee that the second business charges.

1. The first business charges $12 per t-shirt, which can be represented as the equation \( y = 12x \), where \( y \) is the total cost and \( x \) is the number of t-shirts.
2. The second business's cost can be represented as \( y = 11x + 20 \).

The y-intercept of the second graph is 20, meaning when 0 t-shirts are ordered, the cost is $20 due to the setup fee.

To change the first graph's y-intercept from 0 (when \( x = 0 \)) to 20, you need to shift it up by 20 units. This would transform the equation to:

\[ y = 12x + 20 \]

So, the correct transformation to make the first graph into a non-proportional graph with the same y-intercept as the second graph is:

**Up 20**