Concept explainers
As we noted in the chapter opener, exports fear that without conservation efforts, tigers could disappear from the wild by 2022. Just one hundred years ago, there were at least 100,000 wild tigers. By 2010, the estimated world tiger population was 3200. The bar graph shows the estimated world tiger population for selected years from 1970 through 2010. Also shown is a polynomial function, with its graph, that models the data. Use this information to solve
Exercises 65 –68.
a. Find and interpret
Identify this information as a point on the graph of f.
b. Does
overestimate or underestimate the actual data shown by the bar graph? By how much?
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EBK INTERMEDIATE ALGEBRA FOR COLLEGE ST
- . Marriage Rate The marriage rate per 1000 unmarriedwomen for the years 1987–2014 can be modeled bythe function 132x + 1000y = 9570, where x is thenumber of years after 1980. During what year doesthe equation indicate the marriage rate will be 4.29?(Source: National Vital Statistics Report 2010)arrow_forwardThe file P02_26.xlsx lists sales (in millions of dollars) of Dell Computer during the period 1987–1997 (where year 1 corresponds to 1987). Year Sales 1 69 2 159 3 258 4 389 5 546 6 890 7 2014 8 2873 9 3475 10 5296 11 7759 a. Fit a power and an exponential trend curve to these data. Which fits the data better? b. Use your part a answer to predict 1999 sales for Dell. c. Use your part a answer to describe how the sales of Dell have grown from year to year.arrow_forwardEXERCISE 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⌉⌋arrow_forward
- Exer. 31-32: Find an exponential function of the form f(x) = ba-* + c that has the given horizontal asymptote and y-intercept and passes through point P. 31 y = 32; y-intercept 212; P(2, 112) 32 y = 72; y-intercept 425; P(1, 248.5)arrow_forwardDrag the three points so they simultaneously follow both a LINEAR pattern and an EXPONENTIAL patternarrow_forwardSection 2.4 Symmetry. a. Show that if ? is any function, then the function ? defined by?(?)=?(?)+?(−?)/2 is even.b. Show that if ? is any function, then the function ? defined by?(?)=?(?)−?(−?)/2 is odd.c. Show that ?(?)=?(?)+?(?). This means that every function can be expressed as the sum of an even function an odd function.arrow_forward
- State if the following tables represent linear, quadratic, exponential function or neither. Explain your reasoning. a) b) y y -2 -18 -2 625 -1 -11 -1 125 -6 25 1 -3 1 2 -2 2 1arrow_forwardL1Q1 The following table shows the sale of particular type of watches in a shopping complex. Male Female Titan 1254 1154 Citizen 1156 1213 Which type of watch is sold in maximum?arrow_forwardFind a formula for each function graphed in Exercisesarrow_forward
- Determine whether the table could represent a function that is linear, exponential, or neither. If the function is exponential or linear, find a function that passes through the points. a) x 1 2 3 4 f(x) 70 49 34.3 24.01 b) x 1 2 3 4 f(x) 10 20 30 40 2)The fox population in a certain region has an annual growth rate of 5% per year. In the year 2012, there were 20460 fox counted in the area. Write a function, f(t), that models the number of fox in the population at tt years after 2012. Assume a continuous growth rate. 3) Adam wants to save $51000 for a down payment on a home. How much will he need to invest in an account with 7.9% APR, compounding daily, in order to reach his goal in 4 years? 4) Write an equatio for the graph. (PHOTO ATTACHED) NOT GRADED JUST CHECKING ANSWERS! THANK YOUarrow_forward7.8.7 d) in the early 1970s there were approximately 40,000 trees lining the streets of Newton. Today, that number is about 26,000-a 35% loss. The current annual rate of decline is about 650 trees per year. At this rate, if unchecked, public street trees would diminish to approximately 10,000 within a generation (25 years), and in 40 years, public street trees would no longer be part of the Newton landscape. a-c will be answered in the picture attached a) check the arithmetic that leads to the claimed "35% loss" b) check the arithmetic that leads to a "current annual rate of 650 trees per year". c) check the predictions in the last sentence. are they likely to come to pass? now, using the information in the paragraph and the questions + work shown, answer d) d) write the equation for the linear model implicit in this quotation (use years since 2012 as the independent variable). identify the slope and the intercept, with their units.arrow_forwardPopulation growth models are given for countries based on the World Health Organization’s 2006 World. Health Statistics. In each model the population is in millions t years after 2006. Rwanda R(t)= 9.038(1.05)^t. Hungary H(t)= 10.098(0.998)^t a) State whether the population for each country is increasing or decreasing and explain how you know. B) If the population is increasing, determine the amount of time it will take the population to double. C) If the population is decreasing, determine the amount of time it will take the population to have half the initial amount. D) State the practical domain and practical range of R if the function modeled this population from 2000 to 2020.arrow_forward
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