Question 1137047
let t equal the number of minutes that have transpired.


the water starts off at 200 gallons and receives 10 additional gallons per minute.


the sugar starts of at 10 pounds and receives 3 additional pounds per minute.


the formula for the water is 200 + 10 * t.


the formula for the sugar is 10 + 3 * t.


the ratio of sugar to water is (10 + 3 * t) / (200 + 10 * t).


that's your concentration.


it's in the form of a ratio.


multiply the ratio by 100 and you get the concentration as a percent.


every additional minute, 3 pounds of sugar are added and 10 gallons of water are added.


at t = 0, the ratio of sugar to water is 10 / 200 = .05 which is a concentration of 5%.


at t = 1, the ratio of sugar to water is (10 + 1 * 3) / (200 + 1 * 10) = 13 / 210 = .0619047619 which is a concentration of about 6.2%.


at t = 5, the ratio of sugar to water is (10 + 5 * 3) / (200 + 5 * 10) = 25 / 250 = .1 which is a concentration of 10%.


etc.....