Question

A fisherman is measuring the amount of bait he has remaining, y, in his bucket. He puts 36 pieces of bait in his bucket at the beginning of his fishing trip and uses 3 pieces every hour, x.

What is the slope for this linear relationship, and what does it mean in this situation?

3; the amount of bait increases by 3 pieces each hour
−3; the amount of bait decreases by 3 pieces each hour
36; the amount of bait in the bucket when the fishing trip began
−36; the amount of bait in the bucket when the fishing trip began

Answer 1

The slope of the linear relationship is -3, representing a decrease of 3 pieces of bait per hour of fishing. The y-intercept is the initial quantity of bait at 36 pieces.

Step-by-step explanation:

The slope for the linear relationship between the amount of bait remaining in the fisherman's bucket and the hours, x, spent fishing is -3. This means that for every hour that the fisherman spends fishing, the amount of bait, y, decreases by 3 pieces. The initial 36 pieces of bait represent the y-intercept of the linear equation, indicating the amount of bait in the bucket when the fishing trip began, which is when x = 0. The slope, in this case, is a negative value because the amount of bait is being used up and therefore the number of bait pieces is diminishing as time increases.

Answer 2

Answer: The first answer is incorrect. Correct Answer: −3; the amount of bait decreases by 3 pieces each hour

Step-by-step explanation:

It is -3 because the fisherman is taking the bait and using it which means that the bait is decreasing. Also I had the same question but it was slightly different. So I know the right answer.