Exam 1: Functions Given by Formulas

If you are driving at a speed of S miles per hour and make an emergency stop, you can expect to leave skid marks of length L feet.The relationship is ​ ​ Suppose your speed is 82.00 miles per hour.Use functional notation to express the length of skid marks an emergency stop will produce, and then calculate that value. ​

The number of electrical outlets needed in an office building depends on the number of offices and the number of employees.If there are f offices and e employees, then the number of outlets needed is ​ ​ Use functional notation to represent the number of outlets needed if there are 29.00 offices and 43.00 employees.Then calculate that value.Round your answer to the nearest whole number. ​

If , calculate the value of ​

If represents the library charges on b books that are w weeks overdue, explain in practical terms the meaning of .

The height H, in feet, of the winning pole value in the early years of the Olympic games can be modeled by ​ ​ Where t is years since 1900.Use functional notation to express what the height of the winning pole vault would have been in 1928.00.Then calculate that value. ​

For medium-sized dog breeds, the predicted adult weight, in pounds, of a puppy that weighs w pounds at age a weeks is given by the function ​ . ​ Use functional notation to express the predicted weight of a puppy that weighs 3.00 pounds at age 7 weeks.Then calculate that value. ​

A rock is tossed upward from the top of a building and allowed to fall to the ground.Its height above ground, in feet, t seconds after the toss is given by ​ How tall is the building?

The number of armadillos in a certain area t years since observation began is given by ​ ​ How much did the armadillo population grow from year 2.00 to year 7.00? Round your answer to the nearest whole number. ​

If , calculate the value of ​

The balance of a savings account t months since it was opened depends on the APR.If the APR is A, expressed as a decimal, then the balance is given by . ​ What is the balance after 8.00 years if the APR is 6.00 percent? (Be sure first to express the APR as a decimal.) ​

If , calculate the value of . ​

If , calculate the value of . ​

If , calculate the value of . ​

A desalination process is removing salt from a container of sea water.The amount of salt, in kilograms, remaining t hours after the cleaning process began is given by ​ . ​ How much of the salt is removed from time to time ? ​

Let denote the temperature of an oven t minutes after it is turned on.Use functional notation to indicate the temperature of the oven one hour and 48 minutes after it is turned on.

If , calculate the value of . ​

If represents the cost of purchasing b belts, e pairs of earrings, and n necklaces, then we can use to indicate the cost of buying 2 belts, 4 pair of earrings, and 1 necklace.

A rock is tossed upward from the top of a building and allowed to fall to the ground.Its height, in feet, above the ground after t seconds is given by ​ . ​ Use functional notation to express the height of the rock after 0.44 seconds.Then calculate that value. ​