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Using Technology In Exercises 23-26, (a) use a graphing utility to create a
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- What situations are best modeled by a logistic equation? Give an example, and state a case for why the example is a good fit.arrow_forwardUse an exponential model for this data and do it by hand and state why it is better to use exponential over linear and also state the limitations of the model you designed.arrow_forwardDrag the three points so they simultaneously follow both a LINEAR pattern and an EXPONENTIAL patternarrow_forward
- Violent crime rates in the United States are shown in the table for various years. Year Number of Violent Crimes per 100,00 people 1990 730 1995 685 2000 507 2005 469 2009 432 2016 386 (a) Find a linear model for f(a). Round all numbers to 3 decimal places.arrow_forwardcan you help me figure this outarrow_forwardThe table shows the height of a model rocket launched from the top of a four-story building and landing in a pond nearby. Height is measured in feet above the surface of the pond. Rocket Height Time, t (seconds) Height, H (feet) O (launch) 61 0.5 73 77 1.5 73 2 61 (a) Explain why a quadratic model is more appropriate than a log or exponential model. The data indicates the graph is only decreasing. Logarithmic and exponential functions both increase and decrease while quadratic functions either increase or decrease. The data indicates a maximum point and changes from increasing to decreasing at that point. Logarithmic and exponential functions do not possess maximum points, but quadratic functions do. The data indicates a minimum point and changes from decreasing to increasing at that point. Logarithmic and exponential functions do not possess minimum points, but quadratic functions do. The data indicates the graph is only increasing. Logarithmic and exponential functions both increase…arrow_forward
- Growth charts are commonly used by a child's pediatrician to monitor a child's growth. Consider the growth chart that follows. Height (cm) one 95 94 93 92 91 90 89 88 87 86 one-half years O age Ogrowth! Oheight ● 3.0 3.5 Growth Chart 4.0 4.5 Age (yrs) (a) What are the two variables shown in the graph? (Select all that apply.) O centimeters 5.0 (b) What information does the ordered pair (5, 93) represent? ---Select--- = 5 ✓ ---Select--- ---Select--- ✓ = 93-Select--- ✓ 5.5 O whether an individual's growth is above or below normal O any possible relationship between a person's height and age 6.0 (c) Describe how the pediatrician might use this chart and what types of conclusions might be based on the information displayed by it. (Select all that apply.) Onone of these are appropriate Ohow tall a person of a certain weight will bearrow_forwardENERGY (KILOWATT-HOURS) 600 500 400 300 200 400 420 370 0 JAN FEB MAR APR MAY 320 310 330 MONTH -380- JUN JUL AUG SEP 400 420 NOV 580 DEC The line graph shows the monthly consumption of energy in kilowatt-hours for a house during a one-year period. Find the total amount of energy consumed during the year.arrow_forwardUse the model given to answer the questions about the object or process being modeled. Arizonans use an average of 50 gal of water per person each day. The number of gallons W of water used by x Arizonans each day is modeled by W = 50x. (a) Make a table that gives the number of gallons of water used for each 1000-person change in population, from 0 to 5000. Population Water use (gal) 0 0 1000 2000 3000 4000 5000arrow_forward
- You buy a new car that cost $25,000. The car depreciates at a rate of 11% per year.Write an equation to represent the exponential function of the scenario. Also identify the following: a) Independent variable b) Dependent variable c) Domain d) Range e) Starting point f) Growth/decay rate 3. Create a table to represent the exponential function. The table will have the year in the left column and the value for that year in the right column. Years 1, 5, and 10 must be included with 10 the maximum year. Including all 10 years will make it easier to plot the graph 4. List the growth or decay rate which is given in the problem you select. Is it a positive or negative rate? 5. Your equation will have two letters which are the variables. Which is the independent variable? This is the one you specify to determine the value of the other variable which is the dependent variable? 6. You will start your graph where it crosses the vertical axis which will be the value for year 0. What is that value…arrow_forwardregression is done on data that represent ordered pairs true or falsearrow_forwardThe number of hours of video uploaded to YouTube per minute is shown in the table below. Year # of hours of video uploaded per minute 2007 6 2008 10 2009 20 2010 24 2011 48 2012 60 2013 100 Let y be the video upload rate at x years since 2005. Construct a scatterplot by hand. Is the relationship linear or exponential? Increasing or decreasing? Write an equation modeling the number of hours of video uploaded per minute if the initial number of hours is 2.6 and it increases by 59%. Use your equation to find the number of hours uploaded in 2015.arrow_forward
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