Please help me with this problem
1 answer:
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Answer:
The weight in x weeks of a puppy that gains 2 pounds per week if it starting weight is 8 pounds.
Step-by-step explanation:
Given:
A proportional relationship is one in which one variable varies directly with the other. Let the dependent variable be y and independent variable be y.
If y is directly proportional to x, then,
, where, k is a constant of proportionality.
Now, let us check each option and try to express a relationship between them.
Option 1:
The weight in weeks of a puppy that gains 2 pounds per week if it starting weight is 8 pounds.
Let the weight be represented by . Initial weight is 8 pounds.
Weight gain per week is 2 pounds. So, weight gain in weeks is
.
Therefore, total weight is,
This is a linear relationship but not a proportional relationship as it is not of the form . So, option 1 could NOT represent a proportional relationship.
Option 2:
Cost of purchasing 1 pound of bananas is $ 0.55. So, cost of purchasing pounds of bananas will be
. It is of the form
. So, it represents a proportional relationship.
Option 3:
Number of gallons of water in 1 barrel is 50. So, number of gallons in barrels will be
. It is of the form
. So, it represents a proportional relationship.
Option 4:
Amount earned by an employee in 1 hour is $ 9.25. So, amount earned in hours will be
. It is of the form
. So, it represents a proportional relationship.