A corn farmer produces 40,000 bushels of corn in her first year of farming. Due to improved farming techniques, she increases the production by 5% each year. How many total bushels of corn did she produce in her first 4 years of farming? Round your answer to the nearest whole number.(1 point)

Question

Responses

172,405 bushels
172,405 bushels

161,204 bushels
161,204 bushels

221,025 bushels
221,025 bushels

148,395 bushels

Answer 1

To calculate the total bushels of corn produced by the farmer over her first 4 years, we first find out how much she produces each year given the 5% increase.

1. First Year:

   • Production = 40,000 bushels

2. Second Year:

   • Production = 40,000 * (1 + 0.05) = 40,000 * 1.05 = 42,000 bushels

3. Third Year:

   • Production = 42,000 * (1 + 0.05) = 42,000 * 1.05 = 44,100 bushels

4. Fourth Year:

   • Production = 44,100 * (1 + 0.05) = 44,100 * 1.05 = 46,305 bushels

Now we sum the total production over the four years:

\[ \text{Total Production} = 40,000 + 42,000 + 44,100 + 46,305 \]

Calculating this step-by-step:

• \(40,000 + 42,000 = 82,000\)
• \(82,000 + 44,100 = 126,100\)
• \(126,100 + 46,305 = 172,405\)

Therefore, the total bushels of corn produced in her first 4 years of farming is 172,405 bushels.

The correct answer is:

172,405 bushels