If the initial population was set at 100, what number represents the population after a 100% increase followed by a 50% increase?

If the initial population was set at 100, what number represents the population after a 100% increase followed by a 50% increase?

• A. 200
• B. 300
• C. 150
• D. 250

Answer: (B)

To determine the population after a 100% increase followed by a 50% increase, we start with the initial population of 100. When we apply the first increase of 100%, we are essentially doubling the population. Therefore, the calculation is: 100 + (100% of 100) = 100 + 100 = 200. Next, we apply the 50% increase. Now, we need to take 50% of the new population of 200: 50% of 200 = 0.50 × 200 = 100. Now we add that increase to the current population: 200 + 100 = 300. Thus, after both increases, the final population totals 300. This is why the correct answer is among the options provided.

To determine the population after a 100% increase followed by a 50% increase, we start with the initial population of 100.

When we apply the first increase of 100%, we are essentially doubling the population. Therefore, the calculation is:

100 + (100% of 100) = 100 + 100 = 200.

Next, we apply the 50% increase. Now, we need to take 50% of the new population of 200:

50% of 200 = 0.50 × 200 = 100.

Now we add that increase to the current population:

200 + 100 = 300.

Thus, after both increases, the final population totals 300. This is why the correct answer is among the options provided.