Question

Functions W and Z are both linear functions of x. Which statement comparing the functions is true?

a) The slope of Function W is less than the slope of Function Z.
b) The slope of Function W is greater than the slope of Function Z.
c) W(0)=Z(0)
d) Both a and b.

Answer 1

The statement comparing the linear functions W and Z that is true based on the provided information is that the slope of Function W is less than the slope of Function Z.

Step-by-step explanation:

Comparing two linear functions of x requires understanding the properties of their slopes and y-intercepts. Given the information:

• Line A is a decreasing line while Line B is an increasing line, with Line B being much steeper than Line A.
• Line C is a decreasing line while Line A is an increasing line, with Line A being much steeper than Line C.
• Part A begins with a nonzero y-intercept with a downward slope that levels off at zero.

These details imply that the slope of Function W must be less than the slope of Function Z if W is represented by a decreasing line and Z by an increasing line. Hence, the true statement comparing the functions is:

a) The slope of Function W is less than the slope of Function Z.