Question

According to life history theory, when parents can only provide limited nutrients and care to their offspring, the number and size of the offspring are expected to be ___________.

• A. negatively correlated
• B. positively and linearly correlated
• C. uncorrelated
• D. positively and exponentially correlated

Hint:

Treat total parental investment as a fixed pie that gets divided among the offspring; more slices means each slice, or offspring, is smaller, giving a negative relationship between number and size.

Answer 1

The Correct Option is A

Step 1: Understanding the Question.
Life history theory looks at how organisms divide a limited budget of energy and resources among competing needs, such as growth, survival and reproduction. Here we are told the parent has only a fixed, limited amount of nutrients and care to give its offspring, and we must work out what relationship this forces between how many offspring are produced and how big each one is.

Step 2: Key Concept or Approach.
This is the classic offspring number-size trade-off. Picture the total parental investment as one fixed budget, a certain amount of energy, food or care that must be shared out among however many offspring the parent decides to produce. If that budget is split among more offspring, each individual offspring receives a smaller share, so each ends up smaller or less well provisioned. If the parent instead produces fewer offspring, each one can receive a bigger share of the same fixed budget, so each becomes larger.

Step 3: Detailed Explanation.
This logic means number and size move in opposite directions: as the number of offspring goes up, the size each offspring can be given goes down, and as the number goes down, the size each one gets goes up. That is exactly what a negative correlation means, one variable rising while the other falls.
Option (B), positive and linear, and option (D), positive and exponential, both say that having more offspring should also mean each offspring is bigger, which would only be possible if the total parental budget grew without limit as more offspring were added. Since the question specifically says parental nutrients and care are limited, both of these positive relationships contradict the setup.
Option (C), uncorrelated, would mean offspring number tells us nothing about offspring size, but that ignores the very trade-off that a fixed budget forces between the two.

Step 4: Final Answer.
Under a fixed parental investment budget, having more offspring must come at the cost of each being smaller, so offspring number and offspring size are negatively correlated.
\[ \boxed{\text{Negatively correlated}} \]