Assignment 9Math 1030Due Friday, November 9th1. Functions(a) Suppose we make a table of barometric pressure readings everymorning at 6:00 AM. In the left column we h a ve the date of thereading, and in the right column we have the reading.i. Does this represent a function? Explain why.ii. If so, what is the dependent variable?iii. What is the independent variable?(b) We are given that a function f(x) is odd and has period 3. Iff(1) = 4 what are:i. f(−1)?ii. f(4)?iii. f(−7)?12. Linear Modeling(a) Suppose you are giving out candy to trick-or-treaters and youstart the night at 6:00 PM with 160 candies. Each hour you giveaway 30 candies, and you have trick or treaters for 5 hours.i. Can you create a line ar model for this? What would be theslope and initial value of your linear model? What wouldbe the linear equation?ii. Construct a graph of this linear model over the given time,treating time 0 as 6:00 PM.iii. How m any candies will you still have for yourself at theend of the night?(b) What is the equation for the line that goes through the points(3, 5) and (5, 12)?23. Exponential Modeling(a) Suppose you start a bank account with $1000 at a 4% interestrate.i. Construct an exponential equation that models the growthof the money in this account.ii. Construct a graph of this equation, representing how theamount of money in the account grows over time, for thefirst ten years of the accounts existence.(b) The amount of a given drug in a person’s bloodstream decreasesby 10% each hour.i. Construct an exponential model for how the amount of drugin the bloodstream decreases with time using the rate ofchange.ii. What is the half-life of this drug in the
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