Question

Wayne plays guitar in a rock band. Apart from playing for his band, he has played guitar on 10 albums by other artists.

Answer 1

The correct answers are:

A) constant
B) straight line
C) linear

Explanation:

The equation y=0.25x+10 is in slope-intercept form, y=mx+b where m is the slope and b is the y-intercept.  The slope is the rate of change.  The number in our equation that is in place of m is 0.25.  This means for every change in x, the graph will go up 0.25.  The rate of change is the same throughout the entire function, so this is a constant rate of change.

Since the rate of change is constant, the graph will be a straight line.  A constant rate of change means there is the same distance between every two points on the graph; this is only true of a straight line.

Since the graph is a straight line, the function is linear by definition.