Situation 1 involves a proportional relationship between servings and teaspoons of sugar.
Situation 2 involves a proportional relationship between years and the car's value.
Situation 3 involves a proportional relationship between hours worked and earnings.
Situation 4 lacks clear information to establish a proportional relationship between pounds of apples and cost.
The image presents a mathematical problem involving four different situations, asking which one does not represent a proportional relationship. Proportional relationships are characterized by constant ratios or rates. Here's an elaboration on each situation:
1. Situation 1: The number of teaspoons of sugar in x servings with 3 teaspoons per serving. This represents a proportional relationship because the amount of sugar increases consistently with each additional serving.
2. Situation 2: The value of a car that costs $15,600 and loses x dollars in value every year. This too is proportional as the car’s value decreases at a steady rate annually.
3. Situation 3: The earnings of a waiter who makes $12.50 per hour for x hours worked. This is another example of proportionality since earnings increase linearly with each hour worked.
4. Situation 4: The cost of buying x pounds of apples at $1.99 per pound. This situation does not clearly exhibit proportionality because it lacks information on how many pounds are purchased or if there's any variation in price per pound based on quantity bought.