Which situation could not represent a proportional relationship?

question 1 options:

the weight in x weeks of a puppy that gains 2 pounds per week if it starting weight is 8 pounds.

the cost of purchasing p pounds of bananas for $0.55 per pound.

the number of gallons of water in x barrels with 50 gallons of water in each barrel

the amount an employee who makes $9.25 per hour earns in h hours

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.

answer: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.

step-by-step explanation: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.

no

step-by-step explanation: