An object dropped from a height of 500 feet has a height, h(t), in feet after t seconds have elapsed, such that h(t) = 500- 16t². Express t as a function of height h, and find the time to reach a height of 150 feet. -√² +32000 32 ▪ time to reach height of 150 feet: ▪t(h) =

An object dropped from a height of 500 feet has a height, h(t), in feet after t seconds have elapsed, such that h(t) = 500- 16t². Express t as a function of height h, and find the time to reach a height of 150 feet. -√² +32000 32 ▪ time to reach height of 150 feet: ▪t(h) =

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter1: Functions

Section1.2: Functions Given By Tables

Problem 2E: Mortgage Rates The following table is taken from the website of Freddie Mac. It shows rates for...

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Mortgage Rates The following table is taken from the website of Freddie Mac. It shows rates for 30-year fixed-rate mortgages since 1970. y=Year r=Mortgagerate 1975 9.05 1980 13.74 1985 12.43 1990 10.13 1995 7.93 2000 8.05 2005 5.87 2010 4.69 2015 3.84 a. Explain in practical terms the meaning of r(2003). b. Use the table to estimate the value of r(2003).
EXERCISE 2.9.3: Floor and ceiling functions. Compute the value of each expression. (a) ⌊−3.7⌋ (b) ⌈−4.2⌉ (c) ⌈5⌉ (d) ⌊⌊3.5⌋−4.3⌋ (e) ⌊32+⌈13⌉⌋
Aarav has 3,250 followers on social media. His number of followers is increasing at a rate of 3% per week. Which function represents his number of followers each week? A. f(w) = 3,250(3)w B. f(w) = 3,250(1.03)w C. f(w) = 3,250(0.03)w D. f(w) = 3,250(0.97)w
Belinda wants to invest $1000. The table below shows the value of her Investment under two different options for three different years:Number of years23Option 1 (amount in dollars) 1100 1200 1300Option 2 (amount in dollars) 1100 1210 1331Part A: What type of function, linear or exponential, can be used to describe the value of the investment after a fixed number of years using option 1 and option 2? Explain youranswer. Part B: Write one function for each option to describe the value of the investment f(n), in dollars, after n years. Part C: Belinda wants to invest in an option that would help to increase her investment value by the greatest amount in 20 years. Will there be any significant difference in thevalue of Belinda's investment after 20 years if she uses option 2 over option 1? Explain your answer, and show the investment value after 20 years for each option.
Recently there has been a rise in fatal accidents caused by “distracted driving.” The United States National Highway Traffic Safety Administration (NHSTA) defines a distraction as anything that diverts attention from driving. The following model estimates the trend in distracted driving accidents over time based on data from the NHSTA:D = 0.015t - 29.97 In this model, D is the decimal to be turned into a percentage of all fatal accidents caused by distracted driving, and t is any calendar year between 2000 and 2020. Use the model to estimate the rate for 2005 and 2020. Note: this means to plug n 2005 for t and simplify and then turn your answer into a percent. Then plug in 2020 for t and simplify and then turn your answer into a percent.
Farmers know that driving heavy equipment on wet soil compresses the soil and injures future crops. Here are data on the "penetrability" of the same type of soil at two levels of compression. Penetrability is a measure of how much resistance plant roots will meet when they try to grow through the soil. Compressed Soil: 2.85 3.082.6 2.822.95 2.782.82 2.982.76 3.002.81 2.782.78 2.963.08 2.902.94 3.182.86 3.16 Intermediate Soil: 3.13 3.543.32 3.363.1 3.183.40 3.123.38 3.863.14 2.923.18 3.463.26 3.442.96 3.623.02 4.26 Use the data, omitting the high outlier, to give a 96% confidence interval for the decrease in penetrability of compressed soil relative to intermediate soil. Compute degrees of freedom using the conservative method.Interval: To
Give a word problem regarding time rates: algebraic functionsShow FBD, no FBD gets downvote
In an experiment, there was initially 3 bacteria present on a petri dish, and on day 4 there was 83 bacteria present. a.) If we let the function B(x) represent the amount of bacteria present after x days, which of the following functions models this experiment. A. B(x) = 5x+63 B. B(x) = 5x+2 C. B(x) = 2x+67 D. B(x) = 3x+2 E. B(x) = 2x+3 F. B(x) = 4x+3 b.) Use your choice of B(x) to predict the amount of bacteria on day 9.
Even though housing prices have been declining in many parts of the country, in Lara's neighborhood, they have been increasing steadily since Lara bought her homein 2006. Lara purchased her home in 2006 for $120,000, and it steadily increased its value by $4000 a year. Let Vrepresent the market value (in dollars) of her home;X, the length of time she has lived there (in years). Complete parts a through d below.a Complete the following table
In the rise of online shopping, malls are losing storefronts. The local mall started with 86 stores at the time that it was opened, but has consistently lost 6 stores per year for each year the mall has been open. Which of the following models represents the number of stores in the local mall at any given year, x?
a pharma company introduces a new headache medication on the market. They advertise on tv and find that the percentage P of people who buy the product after t weeks satisfies the following functions: P(t)= 100%/1+50e-.13t What percentage buy the product after 11 weeks? 7.7% 9.3% 8.5% 6.2%
The function below represents the earth's population in billions, where t is years since 1990: N(t)=(35)/(1+13e^−0.1t) a) What does this model predict for the maximum sustainable population of the world? ______________billion people b) According to this model, when will the earth's population reach 17.5 billion? During the year______________ c) How about 34.9 billion? During the year_____________