Unit Test — Unit test Answers

An airplane’s average speed from San Diego to Dallas can be calculated using the function where t is the number of hours of travel. When there are tailwinds, the increased speed can be calculated using the functionw(s) = fs, where f is the percent increase as a decimal. On a given day, the tailwinds caused the average speed to increase by 2.5%, or w(s) = 1.025s.

Which of the following best describes how the y values are changing over each interval?xy12024038041605320

The length of the string of a pendulum, L, can be determined using the function , where p is the period of the pendulum. The velocity at the bottom of the pendulum can be modeled by the function .

One brand of coffee is packaged in cylinders where the height is equal to the radius, r. The volume of the package, in cubic centimeters, can be found using the function V(r) = πr3. The number of ounces of coffee in the cylinder depends on the volume of the cylinder, V, in cubic centimeters. This can be modeled by the function C(V) = 3.2V.

The function can be used to determine the side length, x, of a cube given the surface area of the cube, A. The function V(x) = x3 can be used to find the volume of a cube. How can these functions be combined?