Question

One business charges $22 per t-shirt that is custom made.
Another business charges $16 per t-shirt plus a $15 set up free for custom made t-shirts.
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. Down 15
B. Left 15
C. Down 4
D. Right 4
E. Up 15
F. Up 4

Answer 1

To determine how to transform the first graph to make it become a non-proportional graph that has the same y-intercept as the second graph, we first need to analyze the two pricing structures:

1. The first business charges a flat rate of $22 per t-shirt. The equation can be represented as:
\[
y = 22x
\]
where \( y \) is the total cost and \( x \) is the number of t-shirts.

2. The second business has a charge of $16 per t-shirt plus a $15 setup fee, which can be represented as:
\[
y = 16x + 15
\]

The y-intercept of the first business (when \( x = 0 \)) is \( y = 0 \) because there is no fixed cost. The y-intercept of the second business is \( y = 15 \) when \( x = 0 \).

To make the first graph (which starts at (0, 0)) have the same y-intercept as the second graph (which is at (0, 15)), we need to transform it by moving it up 15 units.

So the answer is:

**E. Up 15**