Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

14. label each of the blanks on the graph with the following stages of …

Question

  1. label each of the blanks on the graph with the following stages of a population responding to the carrying capacity of the ecosystem with the following terms: 1) exponential growth 2) overshoot 3) decline 4) recovery 5) carrying capacity. population size time

Explanation:

Step1: Identify Exponential Growth

The initial steep upward curve from the origin represents exponential growth, where the population increases rapidly without significant limiting factors. So the first blank (left - most arrow on the rising curve) is labeled "exponential growth".

Step2: Identify Overshoot

After exponential growth, the population rises above the carrying capacity (dashed line). This peak above the carrying capacity is the overshoot stage, so the arrow at the first peak (above the dashed line) is "overshoot".

Step3: Identify Decline

After overshoot, the population decreases as resources become scarce or other limiting factors act. The downward curve from the overshoot peak is the decline stage, so the arrow on the downward slope after overshoot is "decline".

Step4: Identify Recovery

After a decline, the population may start to increase again as the ecosystem recovers or resources become available again. The upward curve after a decline (but before reaching carrying capacity again) is recovery, so the arrow on the upward slope between two declines is "recovery".

Step5: Identify Carrying Capacity

The dashed horizontal line represents the carrying capacity, which is the maximum population size the ecosystem can sustainably support. So the dashed line is labeled "carrying capacity". Also, the long - term stable (or oscillating around) line is related to carrying capacity, but the dashed line itself is the carrying capacity.

Answer:

  1. The left - most arrow on the rising curve: exponential growth
  2. The arrow at the first peak (above dashed line): overshoot
  3. The arrow on the downward slope after overshoot: decline
  4. The arrow on the upward slope between declines: recovery
  5. The dashed horizontal line: carrying capacity