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?
A. Left 20
B. Up 1
C. Right 20
D. Right 1
E. Up 20
F. Left 1

Answer 1

To make the first graph (the proportional one which represents the function \( y = 12x \)) a non-proportional graph with the same y-intercept as the second graph (which is \( y = 11x + 20 \)), you want to add a fixed amount (a vertical shift) to the value of \( y \).

The first graph has a y-intercept of 0 because it is proportional, and the second graph has a y-intercept of 20 due to the setup fee.

To shift the graph of the first equation (which starts at (0,0)) up to a y-intercept of 20, you need to add 20 to the existing function \( y = 12x \). Therefore, the new function would be \( y = 12x + 20 \), which gives it a non-proportional characteristic due to the added constant.

Thus, the answer is:

E. Up 20.