QUESTION IMAGE
Question
amount consumed each trial
time (sec)
amount vs time
which term describes
what is happening in
the amount per trial
vs. time graph?
a changing
amount is eaten.
a negative
amount is eaten.
nothing is eaten.
a constant
amount is eaten.
Step1: Analyze the graph
The graph is a straight line passing through the origin with a positive slope. This means as time (x - axis) increases, the amount consumed per trial (y - axis) also increases at a constant rate.
Step2: Evaluate each option
- Option A: "A changing amount is eaten" - Since the graph has a constant slope, the rate of change (amount per unit time) is constant, but the amount itself is changing as time passes. Wait, no, actually, a constant slope means a constant rate of change. Wait, let's re - evaluate. The slope of the line represents the rate of amount consumed per unit time. If the slope is constant, the amount eaten per unit time is constant, but the total amount eaten as time increases is changing. But let's check the other options:
- Option B: "A negative amount is eaten" - The y - axis (amount) is non - negative, so this is wrong.
- Option C: "Nothing is eaten" - The graph shows that as time increases, the amount increases, so something is being eaten. This is wrong.
- Option D: "A constant amount is eaten" - Wait, no, the amount is increasing with time. Wait, maybe I misread. Wait, the slope of the line is constant, which means the rate of consumption (amount per second) is constant. So the amount eaten per unit time is constant. But the total amount eaten over time is changing. But let's look at the options again. Option A says "A changing amount is eaten" - as time goes on, the amount eaten (total) is changing (increasing). Option D says "A constant amount is eaten" - which would be a horizontal line. But the graph is a straight line with positive slope. Wait, maybe the question is about the rate. Wait, maybe the options are a bit confusing. Wait, let's re - examine the graph. The x - axis is time (sec), y - axis is amount consumed each trial. The line is straight, so the rate of consumption (amount per second) is constant. But the amount consumed as time increases is changing. But let's check the options:
Option A: "A changing amount is eaten" - as time increases, the amount (y - value) increases, so the amount eaten is changing (increasing). Option D: "A constant amount is eaten" would be a horizontal line. So the correct option is A? Wait, no, maybe I made a mistake. Wait, the slope is constant, so the rate is constant. But the amount eaten (the value on the y - axis) is changing with time. So "A changing amount is eaten" is correct because as time passes, more (changing) amount is eaten. Option D is wrong because the amount is not constant (the graph is not horizontal). Option B is wrong because amount can't be negative. Option C is wrong because the graph shows amount increasing.
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A. A changing amount is eaten