Question

The function y = 2.5x - 1.5, represents the cost, y, of all tickets sold, x. What is true about the function?

A. The function is linear because it will yield only one output for each input.
B. The function is linear because it yields multiple outputs for each input.
C. The function is non-linear because it does not have a constant rate of change.
D. The function is non-linear because it has a constant rate of change.

Answer 1

A

Explanation:

y = 2.5x - 1.5

x y

2 3.5

3 6

4 8.5

5 11

The function is linear for one thing, because it does have a constant rate of change.

6 - 3.5 = 2.5

11 - 8.5 = 2.5

D is incorrect. because it is linear.

C is incorrect because it does have a constant rate of change.

B is wrong because any 1 input gives only one output

A is your answer.