Sarah drinks about 224 ounces of water each week. She would like to increase this amount by 5% each week. How much water will she drink after the third week of increase? Round your answer to the nearest ounce.(1 point)
224 ounces
235 ounces
259 ounces
706 ounces
To calculate the amount of water Sarah will drink after the third week of increase, we need to find the 5% increase for each week.
In the first week, the increase is 5% of 224 ounces, which is (5/100) * 224 = 11.2 ounces.
Therefore, after the first week, Sarah will drink 224 + 11.2 = 235.2 ounces (rounded to the nearest ounce).
In the second week, the increase is 5% of 235.2 ounces, which is (5/100) * 235.2 = 11.76 ounces.
Therefore, after the second week, Sarah will drink 235.2 + 11.76 = 246.96 ounces (rounded to the nearest ounce).
In the third week, the increase is 5% of 246.96 ounces, which is (5/100) * 246.96 = 12.348 ounces.
Therefore, after the third week, Sarah will drink 246.96 + 12.348 = 259.308 ounces (rounded to the nearest ounce).
Therefore, Sarah will drink approximately 259 ounces after the third week of increase.
So, the answer is 259 ounces.