A large company put out an advertisement in a magazine for a job opening. The first day the magazine was published the company got 160 responses, but the responses were declining by 15% each day. Assuming the pattern continued, how many total responses would the company get over the course of the first 5 days after the magazine was published, to the nearest whole number? Answer:

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 160 responses, but the responses were declining by  15% each day. Assuming the pattern continued, how many total responses would the company get over the course of the first 5 days after the magazine was published, to the nearest whole number? Answer:

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Determine Number of Responses: Determine the number of responses on the first day. The company received 160 responses on the first day.Calculate Second Day Responses: Calculate the number of responses on the second day. The responses are declining by 15% each day. To find the number of responses on the second day, we calculate 15% of 160 and subtract it from 160. 15% of 160 = 0.15 × 160 = 24 Responses on the second day = 160 - 24 = 136Calculate Third Day Responses: Calculate the number of responses on the third day. We apply the same 15% decline to the number of responses from the second day. 15% of 136 = 0.15 × 136 = 20.4 Responses on the third day = 136 - 20.4 = 115.6, which we round to the nearest whole number, 116.Calculate Fourth Day Responses: Calculate the number of responses on the fourth day. Again, we apply the 15% decline to the number of responses from the third day. 15% of 116 = 0.15 × 116 = 17.4 Responses on the fourth day = 116 - 17.4 = 98.6, which we round to the nearest whole number, 99.Calculate Fifth Day Responses: Calculate the number of responses on the fifth day. We apply the 15% decline to the number of responses from the fourth day. 15% of 99 = 0.15 × 99 = 14.85 Responses on the fifth day = 99 - 14.85 = 84.15, which we round to the nearest whole number, 84.Add Total Responses: Add up the total number of responses over the first 5 days. Total responses = Responses on the first day + Responses on the second day + Responses on the third day + Responses on the fourth day + Responses on the fifth day Total responses = 160 + 136 + 116 + 99 + 84 = 595

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