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

Up 1
Up 1

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Up 20

Answer 1

To transform the first graph, which is proportional (y = 12x), into a non-proportional graph with the same y-intercept as the second graph (which has a fixed cost of $20 plus $11 per t-shirt), you need to add a constant amount to the y-values of the first graph.

The second graph, which is expressed as \( y = 11x + 20 \), has a y-intercept of 20. The first graph has a y-intercept of 0 (since when \( x = 0 \), \( y = 12(0) = 0 \)).

To make the first graph have the same y-intercept of 20, you need to "shift" it up by 20 units. This means you would change the equation from \( y = 12x \) to \( y = 12x + 20 \).

Therefore, the correct transformation is:

**Up 20**