Question

A large company put out an advertisement in a magazine for a job opening. The first day the magazine was published the company got 64 responses, but the responses were declining by 25% each day. Assuming the pattern continued, how many total responses would the company get over the course of the first 8 days after the magazine was published, to the nearest whole number?

Answer 1

The company would get 229 responses over the course of the first 8 days, with the number of responses declining by 25% each day.

Step-by-step explanation:

To find the total number of responses over the course of the first 8 days, we need to calculate the number of responses each day and add them up.

On the first day, the company got 64 responses. Each day after that, the number of responses declined by 25%. To calculate the number of responses each day, we can multiply the previous day's responses by 0.75 (100% - 25% = 0.75).

So, on the second day, the company would get 64 x 0.75 = 48 responses. On the third day, they would get 48 x 0.75 = 36 responses, and so on. We can continue this calculation for each day and then sum up the total number of responses.

Here's the breakdown:

1. Day 1: 64 responses
2. Day 2: 48 responses
3. Day 3: 36 responses
4. Day 4: 27 responses
5. Day 5: 20 responses
6. Day 6: 15 responses
7. Day 7: 11 responses
8. Day 8: 8 responses

Adding up all the responses, we get a total of 64 + 48 + 36 + 27 + 20 + 15 + 11 + 8 = 229 responses over the course of the first 8 days.