Suppose that a gas company needs to run a pipeline from its production station on one side of a river to a town on the other side of the river as shown in Figure 1 below. Laying pipe
underground costs 11 dollars per linear foot, while laying pipe under the river costs 17.25 dollars per linear
foot. Describe the way in which the pipe should be laid so that the cost is minimized. Provide both exact answers and decimal approximations.
River
Production
Plant
23 miles
I
Pipeline
Town
3 miles

Four airplanes carrying a total of 400 passengersarrive at the detroit airport. the airplanes carry, respectively,50, 80, 110, and 160 passengers.a) one of the 400 passengers is selected uniformly at random.let x denote the number of passengers that were on theairplane carrying the randomly selected passenger. find var(x)for x as given in the problemb) one of the 4 airplane drivers is also selected uniformly atrandom. let y denote the number of passengers on the chosen driver’s airplane. find var(y) for y as given in the problem

The table shows the balance of a money market account over time. write a function that represents the balance y (in dollars) after t years.

Askate shop rents roller skates as shown on the table below. which graph and function models this situation?