Question

with aging, body fat increases and muscle mass declines. the graph to the right shows the percent body fat in a group of adult women and men as they age from 25 to 75 years. age is represented along the x - axis, and percent body fat is represented along the y - axis. state the intervals on which the graph giving the percent body fat in women is increasing and decreasing. on what interval is the graph increasing? a. (25,35) b. (20,26) c. (35,75) d. (25,75)

Explanation:

Step1: Understand the concept of increasing interval

A function \(y = f(x)\) is increasing on an interval if, as \(x\) increases, \(y\) also increases. In a graph, this is represented by a rising curve.

Step2: Analyze the graph for women

Looking at the graph for women (the red - colored curve), we start from \(x = 25\). As \(x\) moves from \(25\) to \(35\), the \(y\) - value (percent body fat) is increasing. For \(x>35\) (from \(35\) to \(75\)), the \(y\) - value is decreasing.

Answer:

A. \((25,35)\)