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.

the ratio of grapes to blueberries she should use is 12: 3

step-by-step explanation:

if mandie is making 15 cups of fruit salad, the ratio of grapes to blueberries she should use is 12: 3.