Chapter 2, Problem 33RE

2. The height, h, in feet, of an object thrown upward from a height of 144 feet is a function of time, t, in seconds. The height can be determined by the function h(t) = -16t^2 + 128t + 144. What is the height of the object at 3 seconds? * (25 Points) %3D h(t) = -161 + 1281 + 144 Enter your math answer

The height of Danny's beanstalk decreases by 50% per day when he stops feeding it. Danny's beanstalk is 20 inches tall when he stops feeding it. a. Write a function f that determines the height of Danny's beanstalk (in inches) in terms of the number of days t since Danny stopped feeding the beanstalk. S f(t) 20-(20*.5)^t Preview b. Plot the points (0, f(0)), (1, f(1)), (2, f(2)), and (3, f(3))ds on the graph below. 20 | f(t) 15 10 t Clear All Draw: Dot

D) y= 2(x+ 1) Consider that 85(1.7)* models the number of pet toys patented at the end of x years since 2002. Which statement is the best interpretation of one of the values in this function? A) The number of patents granted for pet products increases by 85 each year. B) The number of patents granted for pet products increases by 7% each year. C) The number of patents for pet products in 2002 was 85. D) The first patent for a pet product was granted 85 years ago. A Lab worker monitors the growth of a bacteria colony starting at 9:00 a.m. At that time, there are 10

You manufacture ceramic lawn ornaments. After several months, your accountment tells you that your profit. P(n), can be modeled by the function P(n)= -0.002n^2 + 5.2n - 1208 where n is the number of ornaments sold each month a) How many ornaments must you make and sell in order to break even? b) How many ornaments must you make and sell in order to maximize profit? c) What is the maximum profit? d) How many ornaments must you make and sell in order to earn a profit of $1657?