Part 1 of (a) For each function given in the table, write an equivalent function using base e. That is, write a function of the form P (t)=Poekt. Also, determine the population of each country in the baseline census. Round the value of k to five decimal places. Country Central American P(t)=ab' P(t)=4.3 (1.0135)' Northern European P(t)=4.6(1.0062) P(t)=Poekt P(t)= P(1) - Baseline Population (in millions) P(0) - P(0) -

Francine throws a wrench into the air from the bottom of a trench 10 feet deep. Its height t seconds later is given, in feet, by h = -16t + 34t – 10 a. When will the wrench attain its maximum height? Round your answer to two decimal places and choose the correct units. O A. meters O B. seconds OC. hours OD. feet b. According to the function, how do you know your answer to part (b) is where the maximum height is attained and not the minimum height? O A. The leading coefficient is positive, so the graph is concave up O B. The leading coefficient is positive so that graph is concave down OC. The leading coefficient is negative, so the graph is concave down OD. The leading coefficient is negative, so the graph is concave up

Find the max, min and intervals of inc/dec of the following function: f(x)=ex/(3x)   [0,10] a. Identify what test you will use b. Use the test correctly c. Write formal sentences for your answer. ***Address all parts of the question.

ABU * Question 2 Sarah bought a used car. The value of the car, in dollars, is a function of time, in years, as represented by the expression 1500(1 -.10)', where t is the time, in years, since she purchased the car. Which of the following statements describes the meaning of .10 in the expression? A the amount she paid for the car B the percentage by which the value of the car increases each year the percentage by which the value of the car decreases each year D the amount of time, in years, that has passed since she bought the car

Simmorns, Renlya Dan noticed that it was harder for him to make a basket later in the game when he was tired. Josephine, the team statistician, calculated Dan's percentage of shots made over the previous4 games in ten minute intervals in order to track his stamina. Time (min) Percentage of Shots Made 10 60 20 45 30 33.75 40 25.3125 Josephine wants to create a function to model the data. What type of function should she use? O Linear O Quadratic O Exponential O None of these INTL OO 920 1O

1. The Salt Lake City urban forest now consists of about 90,000 public trees. The urban forestry department plans to increase the number of trees by 2500 every four years. (1.1) Write a function f(x) this gives the number of public trees after x years. (1.2) (1.3) Answer: Based on this function, how many trees will there be in ten years? Answer: Based on this function, after how many years will there be 130,000 trees?

Find the max, min and intervals of inc/dec of the following function: f(x)=ex/(3x)   [0,10] a. Identify what test you will use b. Use the test correctly c. Write formal sentences for your answer. ***Address all parts of the question.

Which of the following best describes the type of function based upon the given table of values? f(x) -5 6 a. Linear b. Quadratic c. Exponential Growth d. Exponential Decay 8 -1 9 -2 10 -5 a b. 2125