Question

Patrick charges $10 for each dog he watches per day. He decides to add a flat fee of $7.50 to cover the dog snacks. How does the graph of the added fee effect the graph of the line?

A) The lines are the same because the slopes are the same.
B) The new line starts at -7.5 to represent the initial fee.
C)The new line starts at 7.5 to represent the initial fee
.D) There is no change in the new line.

Answer 1

C) The new line starts at 7.5 to represent the initial fee

Step-by-step explanation:

The equation for how much Patrick makes is:

y = 10x

But then he decides to add a flat fee. This fee does not change and becomes the "base value" for the graph/equation/how much he makes. The equation then becomes:

y = 10x + 7.50

Unlike the 10, the 7.50 does not change or vary.

These two equations are DIFFERENT; they have different y- intercepts. The new line starts at 7.50, whereas the first line starts at 0.