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which term describes what is happening in the amount per trial vs. time…

Question

which term describes what is happening in the amount per trial vs. time graph?
nothing is eaten.
a negative amount is eaten.
a constant amount is eaten.
a changing amount is eaten.

Explanation:

Step1: Analyze the graph type

The graph is a straight - line graph. In a straight - line graph of the form \(y = mx + c\) (where \(y\) is the amount consumed, \(x\) is time), for a straight line (linear relationship), the rate of change is constant.
The general formula for the slope \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Let's take two points \((x_1,y_1)=(0,0)\) and \((x_2,y_2)=(8,9)\) (approximate from the graph). The slope \(m=\frac{9 - 0}{8 - 0}=\frac{9}{8}\) (constant value).

Step2: Relate slope to the situation

The slope of the line in the "Amount Consumed Each Trial vs Time" graph represents the rate at which the amount is consumed per unit time. Since the slope is constant (because it is a straight line), the amount consumed per unit time is constant.

Answer:

A constant amount is eaten.