If mass is inversely proportionate to cost, what happens as mass increases?

If mass is inversely proportionate to cost, what happens as mass increases?

• A. Cost will double
• B. Cost will increase directly
• C. Mass will decrease
• D. Cost will decrease

Answer: (D)

When mass is inversely proportional to cost, it means that as one variable (mass) increases, the other variable (cost) must decrease in order to maintain that inverse relationship. Specifically, this can be expressed mathematically as cost being equal to a constant divided by mass. Therefore, when mass increases, the denominator of this fraction becomes larger, resulting in a smaller value for cost. This understanding aligns with the fundamental principle of inverse relationships, where one quantity rises while the other falls. In this case, as mass increases, the cost necessarily decreases to keep the product of mass and cost constant. Hence, the correct conclusion here is that as mass increases, cost will indeed decrease.

When mass is inversely proportional to cost, it means that as one variable (mass) increases, the other variable (cost) must decrease in order to maintain that inverse relationship. Specifically, this can be expressed mathematically as cost being equal to a constant divided by mass. Therefore, when mass increases, the denominator of this fraction becomes larger, resulting in a smaller value for cost.

This understanding aligns with the fundamental principle of inverse relationships, where one quantity rises while the other falls. In this case, as mass increases, the cost necessarily decreases to keep the product of mass and cost constant. Hence, the correct conclusion here is that as mass increases, cost will indeed decrease.