Final answer:
The population of spiders will be 1,280 after 5 days. If a population of 40 spiders doubles in size every day, then to find out how many spiders there will be after 5 days, you would use the formula for exponential growth.
Step-by-step explanation:
To find out how many spiders there will be after 5 days, we need to calculate the population each day based on the doubling rate. Since the population doubles every day, we can use the formula: population = initial population * 2^(number of days). In this case, the initial population is 40 and the number of days is 5. Therefore, the population after 5 days will be 40 * 2^5 = 40 * 32 = 1280 spiders. So the answer is C. 1,280.
After 5 days, a population of 40 spiders that doubles in size every day will grow to 1,280 spiders.
If a population of 40 spiders doubles in size every day, then to find out how many spiders there will be after 5 days, you would use the formula for exponential growth. Exponential growth occurs when the growth rate of a population is proportional to its current size, meaning in this case, the population doubles every day.
Using the formula:
Final Population = Initial Population x (2number of days)
We can calculate:
Final Population = 40 x (25)
Final Population = 40 x 32
Final Population = 1,280
Therefore, after 5 days, there will be 1,280 spiders.