2) Suppose that a person x inches tall sprains an ankle. An approximation for the length of a crutch (in inches) that a person might need is given by the function f(x)=19/26x+2. Find and interpret f^-1(49.5).
a) f^-1(49.5)=38.2; A crutch length of 49.5 inches would be appropriate for a person 38.2 inches tall.
b) f^-1(49.5)=65; A crutch length of 65 inches would be appropriate for a person 49.5 inches tall.
c) f^-1(49.5)=38.2; A crutch length of 38.2 inches would be appropriate for a person 49.5 inches tall.
d) f^-1(49.5)=65; A crutch length of 49.5 inches would be appropriate for a person 65 inches tall.
3)Given that f(x) is an exponential function of the form f(x)=k*b^x, use the table below to determine the values of k and b.
x -2 -1 1 4 5
f(x) 27 / 100 9 / 20 5 / 4 625 / 108 3125 / 324
4) Determine the values of k and b with the points shown below y=k*b^x.
5) The temperature, in degrees Fahrenheit, of a cup of coffee can be expressed by T(t)=70+110e^-0.04t, where t is measured in minutes. Use this equation to answer the following questions. Round to the nearest degree.
What is the initial temperature of the coffee?
The Correct Answers are provided. Algebra and functions with domain and ranges are analyzed.