. The temperature in Kelvin, T K, as a function of the temperature in degrees Fahrenheit, T F, is given by the linear equation TK = 2(TF 32) + $. a. Find the slope and T K-intercept. b. Give a practical interpretation of the slope and T K-intercept. . Tyler is a poor graduate student, so he sets about selling his Pokemon card collection in order to pay rent. After some initial sales, he writes a function C ( n) that tells him how much money he can expect to make in USD as a function of the number of cards he sells n. a. Give a practical interpretation of C(300) = 75 (Remember units!) b. Give a practical interpretation of C" (150) = 225 1 x3+1' . Iff(x) = ndf'1(x). . Tyler is interested in paleozoology, so he learns how to carbon date fossils using the radioactive isotope Carbon- 1 4. a. Write an equation for the proportionality relationship: the abundance of Carbon-14 (in %) in the fossil is inversely proportional to its age (in yrs). Make sure to name your variables. b. Suppose Tyler wants to compare the ages of two fossils that both adhere to the same relationship. If one fossil is twice the age of the other, how do the abundances of Carbon-14 compare? . Write a proportionality relationship for the following equations (k is the proportionality constant): a. A = kbh b. v=k E T