Statistics and Probability

The number of cars sold weekly by a new automobile dealership grows according to a linear growth model. The first week the dealership sold six cars (H = 6). The second week the dealership sold cars (P1 = 10). Write the recursive formula for the number ofcars sold, Pm in the in + 1)\"" week. P..=P,._1+ [3 Write the explicit formula for the number of cars sold. P", In the (n + hm week. If this trend continues. how many cars wiil besoid in the sixth week? Starting In the year 2012. the number of speeding tickets Issued each year in Middletown Is predicted to growatcording to an exponential growth model. During the year 2012. Middletown issued 150 speeding tickets (Pa = 150). Every yeardiereafter. the number of speeding tickets ssued is predicted to grow by 15%. If P, denotes the predicted number of speeding tickets during the year 2012 + n. then Write the recursive formula for P Pu'DXPnl Write the explicit formula for P, If this trend continues. how many speeding tickets are predicted to be issued in 2030? A population of 20 deer are introduced into a wildlife sanctuary. it Is estimated that the sanctuary can sustain up to 400 deer. Absent constraints, the population would grow by 80% per year. Estimate the population after one year Estimate the population after two years n = :1 A population of beetles are growing according to a linear growth model. The initial population (week 0) is Po : 7. and the population after 4 weeks is P. : 23. Find an explicit formula for the beetle population after 1- weeks. Afteir how many weeks will the beetle population reach 99? r each scenario, identify the appropriate growth model that describes how it's changing. |:|Tuition is currently 52,000 a quarter has been growing by 7% a year |:|The amount of pollutants in the lake has been increasing by 4 milligrams per Liter each year |:|The number of arrests grew for several years. but now has been decreasing |:|The number of new polio cases has been cut in half each year dueto vaccination efforts