Question

which choice describes the total amount vs time graph? the amount consumed over time is changing. nothing is consumed according to the graph. the amount consumed over time is constant.

Explanation:

Step1: Analyze the graph's slope

The graph is a straight - line with a negative slope. In a graph of amount vs time, the slope represents the rate of change of the amount with respect to time. A non - zero slope indicates that the amount is changing over time.

Step2: Consider the meaning of a constant rate

For a linear graph (a straight - line), the rate of change (slope) is constant. The formula for the slope \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Let's take two points on the line: when \(x = 0,y = 17\) (approximate, since it's close to 16 - 18 on the y - axis, assuming it's 17 for calculation purposes) and when \(x = 12,y=0\). The slope \(m=\frac{0 - 17}{12-0}=-\frac{17}{12}\) (a constant value).

Answer:

The amount consumed over time is constant.