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AleksandrR [38]
2 years ago
15

when the population of organisms in an environment increases what inevitably happens to the population growth rate​

Geography
1 answer:
kupik [55]2 years ago
6 0

Answer:

decreases

Explanation:

When a population of organisms has the conditions to increase, mainly lack of predators and surplus food resources, it increases exponentially. That rapid increase in the population doesn't lats for very long though. The reason why it can continue to grow as much as that the food resources are limited, so when the optimal number of organisms is on the scene in accordance to the available food sources, any further increase results in inner species competition for food. That will cause a significant decrease in the increase of the population, or even totally stop. The appearance of predators is also a factor, as the predators will increase in numbers in accordance to the amount of prey animals, so once they reach their optimal numbers then they will be able to control the population and its increase or decrease.

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(D) Distance traveled by Chase on bike = 5 miles

(T) Time taken by Chase to travel that distance = 25 minutes

D and T are directly related.

Part A (Equation)

Since, D and T are directly related,

⇒ D ∝ T (i.e. D is directly proportion to T)

⇒ D = k × T (using k as constant variation, as suggested in the question)

So the equation that represents the relation between T and D is D = k × T.

Part B (Value and units for k)

When we put the values of T and D in the equation D = k × T, we get:

5 = k × 25

Solving the above equation and moving 25 to the Left Hand Side (LHS) of the equation

⇒ 5 ÷ 25 = k

⇒ 0.2 = k OR

⇒ k = 0.2

Hence, value of k is 0.2. This is the rate at which Chase drove his bike to school.

Now, to determine the unit of k we will simply put the units of D and T in the equation.

⇒ 5 miles = k × 25 minutes

⇒ 0.2 miles/minute = k OR

⇒ k = 0.2 miles/minute

Hence, the unit for k is miles/minute or miles per minute.

Part C (Time taken to ride 8 miles)

Now, if Chase drives his bike at the same rate every day, i.e. at 0.2 miles/minute, then we need to determine how much time he takes to ride 8 miles. Putting the values of k and D in the equation:

⇒ 8 = 0.2 × T

⇒ T = 40 minutes

So, Chase would take 40 minutes to cover a distance of 8 miles.


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3 years ago
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