suppose there is a tanker accident and an oil spill occurs. some days after the spill, it was reported that an oil slick covered an area 30 miles long and 10 miles wide. one day later it was estimated that the slick has increased to 36 miles long and 12 miles wide.

1) what was the average rate of change of the area of the slick with respect to time during this day?

2) Assume the spread of the oil slick is a linear model. Draw a graph showing the area covered by the oil as a function of time and find an algebraic formula for this function.

3) Estimate how long the oil had been spreading before the first measurement occurred.

4) Explain the relationship between your graph, the formula, and the rate at which the slick is spreading.