Question

1. Maximum is cleaning shrimp. He cleans 4 shrimp every minute. Use time in minutes as the independent quantity and the number of shrimp as the dependent quality.

A= Is the relationship proportional or non-proportional? Explain how you can determine this using a graph and the equation.
B= Identity the unit rate of this relationship. Explain what the unit rate means in terms of the situation.
C= Create a graph of the relationship.

Answer 1

Explanation:

Relationship Equation between time and shrimps cleaned : S = 4T; Relationship is inversely proportional; Unit rate of change = 4

Given : 4 Shrimps cleaned every minute.

So, Shrimps cleaned 'S' = 4 times minutes taken 'T' ; S = 4T

The relationship between variables is proportional, as the dependent variable (shrimps) is constant multiples times the independent variable (time), & their ratio remains constant.

It is directly proportional, as both variables (shrimps & time) move in same direction. One variable increase or decrease, other variable same respectively.

Graph in this case is upward sloping curve from origin, because of direct proportional relationship respectively.

Unit rate of change denotes constant magnitude of change in a variable with other variable. It is 4 in this case, as time increases the shrimps.