Question

The population of a bee colony changes at a rate of −61 bees per day. If the colony starts with 30,500 bees, which two statements are true

Answer 1

30,500 - (61 * 100) = 24,400

Explanation:

The population of a bee colony starts with 30,500 bees and changes at a rate of -61 bees per day. To determine which statements are true, we can perform some calculations.

First, to find the population after a certain number of days, we can multiply the rate of change by the number of days and subtract it from the initial population. For example, if we want to know the population after 10 days, we can do the following:

30,500 - (61 * 10) = 29,890

This means that after 10 days, the population will be 29,890 bees.

Now we can analyze the statements:

1. After 500 days, the population will be 0 bees.

To verify this statement, we can use the formula above and substitute the value of 500 for the days:

30,500 - (61 * 500) = 0

The formula shows us that the population will be 0 bees after 500 days. Therefore, this statement is true.

2. After 100 days, the population will be 24,400 bees.

Using the formula again, we substitute 100 for the days:

The formula tells us that the population will be 24,400 bees after 100 days. Therefore, this statement is also true.

In summary, the two true statements are:

1. After 500 days, the population will be 0 bees.

2. After 100 days, the population will be 24,400 bees.

Answer 2

Given that the population of a bee colony changes at a rate of -61 bees per day and the colony starts with 30,500 bees, here are two true statements:

The population of the bee colony decreases by 61 bees per day:

The negative sign indicates a decrease in the population. So, each day, the colony loses 61 bees.

After one day, the colony will have 30,500 - 61 = 30,439 bees:

To find the population after one day, you subtract the rate of change (-61 bees) from the initial population (30,500 bees). This means that after one day, the colony will have 30,439 bees.

Explanation: