Should have more to paint than at three hours, because remember, A of t is how much he has left to paint. So as time goes up, as time increases, A of t should go down. So he should have less to paint as time goes up. Let's say after two hours, how much would he have had left to paint? What would A of t been? Would it have been more than 28 or would it have been less than 28? Well, he's painting eight square meters per hour, so every hour that goes by, he's painting more, but A of t isn't how much he has painted, it's how much he has left to paint. Now, they tell us that he painted his room at a rate of eight square meters per hour. We're just assuming that this is going to be in square meters, and this is in hours. So I'm gonna leave some space here for some other values, maybe zero, one, two. Much we have left to paint, not how much we have painted. They say, "after three hours of painting, "after three hours of painting, he had 28, "28 square meters left to paint." And once again, A of t is how So let's think about what A of t is at different times. So what I like to do is, let's just think aboutĪ couple points here. Is how much we have to paint, not how much we have painted. Let A of t denote the area to paint, A measured in square metersĪs a function of time, t, measured in hours. So they're talking in terms of how much we have left to paint, not how much we have painted. So after three hours of painting, he had 28 square meters left to paint. After three hours of painting, he had 28 square meters left to paint. Painted his room at a rate of eight square meters per hour.
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