The greatest loss rate estimates are 4,200,000 gallons per day since the start of the spill, but after 44 days about 1,050,000 gallons were diverted into collection tankers.( The remaining amount was lost in the Gulf). Based on these data (assuming that the rate of loss was constant at 4,200,000 gallons per day), write an equation to determine the gallons per day (g) lost after the first 44 days; let d represent the total number of days since the start of the spill, and give the real- world domain for this equation.
To write an equation that represents the gallons per day lost after the first 44 days, we can consider the following information:
- The greatest loss rate estimates are 4,200,000 gallons per day.
- After 44 days, about 1,050,000 gallons were diverted into collection tankers, meaning the remaining amount (3,150,000 gallons) was lost in the Gulf.
Let's break down the problem:
- From the start of the spill until day 44, the loss rate was constant at 4,200,000 gallons per day.
- After day 44, the loss rate remained constant, but only the remaining gallons after diversion were being lost.
To determine the gallons lost per day (g) after the first 44 days, we need to subtract the diverted amount (1,050,000 gallons) from the daily loss rate (4,200,000 gallons) and divide it by the number of days (d) since the start of the spill:
g = (4,200,000 - 1,050,000) / d
In this equation, g represents the gallons per day lost after the first 44 days, and d represents the total number of days since the start of the spill.
The real-world domain for this equation would be d ≥ 44, as we are only interested in the number of days after the first 44 days.