when matthew eats pizza, he always eats a who...

when matthew eats pizza, he always eats a whole slice at a time with no bites left over. which graph best represents this situation?

Answer

# Explanation: ## Step1: Analyze the situation Matthew eats whole - slices of pizza. The number of slices eaten (x - variable) and the number of bites left (y - variable) are related. Since he eats whole - slices with no bites left over, when he eats 0 slices, the number of bites left is at a maximum (the whole pizza), and as the number of slices eaten increases, the number of bites left decreases in discrete steps (because he eats whole slices). ## Step2: Evaluate the graphs The first graph shows a positive - slope line with points that are likely representing a continuous increase in some quantity, which is not correct for this situation. The second graph shows a negative - slope line with discrete points. As the number of slices eaten (x) increases, the number of bites left (y) decreases in whole - slice increments, which is consistent with the problem. The third graph has a negative slope but the points seem to be in a non - discrete or incorrect pattern for the described situation. The fourth graph has a positive slope which is incorrect as the number of bites left should decrease as the number of slices eaten increases. # Answer: The second graph (the one with a negative slope and discrete points)