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.

Question

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.

Answer 1

To write the equation, we know that the rate of loss after the first 44 days was constant at 4,200,000 gallons per day. So, we can express this equation as:

g = 4,200,000

Where:
g = gallons per day lost after the first 44 days

Note that there should not be any variable representing the total number of days since the start of the spill (d) in this equation, as the rate of loss is assumed to be constant.

For the real-world domain, since the rate of loss is constant at 4,200,000 gallons per day, the equation is valid for any number of days greater than or equal to 44 (d ≥ 44). This means the equation holds for any number of days after the first 44 days since the start of the spill.