MODELING REAL LIFE A birch tree is 9 feet tall and grows at a rate of 2 feet per year. The table shows the height h (in feet) of a willow tree after x years. Years, x Height, h 1 11 17 9. 23 a. Does the table represent a linear or nonlinear function? The table represents a v function.

Q: Kyra earns $16 per hour at her job. Is her gross pay a linear function of the number of hours she…

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Q: A devastating freeze in California’s Central Valley in January 2007 wiped out approximately 75% of…

A: Given c=gp where c is the price of oranges and p is the percentage of the citrus crop that was…

Q: Your turn A fashion designer checks the price of a certain fabric. Manufacturer A charges $7.50 per…

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Q: On a winter day your local automobile service garage receives many calls from persons who need help…

A: Temperature (X) Number of Calls (Y) (x-xbar) (x-xbar)^2 (y-ybar) (y-ybar)^2 (x-xbar)*(y-ybar) -12…

Q: which phrase describes a nonlinear fu A the area of a circle as a function of the radius B the…

A: For non linear equation the highest degree must be greater than 1

Q: Total expenditures in a country (in billions of dollars) are increasing at a rate of f(x) =…

A: a)Given rate of total expenditure f(x)=8.68x+87.14let f(x) be the total…

Q: The amount of fertilizer in a landscaping company's warehouse decreases at a rate of 3% per week.…

A: Exponential decay of a system is given by  y = a(1-r)^t  a = initial amount  r = rate at which…

Q: The cost of a telephone call from Mendocino to San Francisco during business hours is 40 cents for…

A: Given that the cost of a telephone call from Mendocino to San Francisco during business hours is 40…

Q: Measuring the speed of sound in the ocean is an important part of marine research. One application…

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Q: Where is the function increasing? Decreasing?

A: From the given graph, it is observed that the local maximum exist at approximately x=-2.7 and local…

Q: COMPARING DIFFERENT FUNCTIONS: Which of the following functions has a greater rate of change and…

A: Here we find out the values in this way....

Q: The figure shows graphs of r', the rate of change of revenue, and c', the rate of change of costs…

A: Given:  r' = rate of change of revenue (thousand dollars) with amount invested, x (thousand…

Q: A linear function models the height of a burning candle. Candle A comes out of the mold at 211 ​mm,…

A: Here,  h= 211 mm t= 8 hours

Q: Belinda wants to invest $1,000. The table below shows the value of her investment under two…

A:

Q: A company is increasing production of peanuts at the rate of 50 cases per day. All cases produced…

A: Given:           p = 50 - q200 where q is the number of units produced (and sold) and p is price in…

Q: Depreciation A business property valued at $300,000is depreciated over 30 years by the straight-line…

A: The depreciation function is: V=300,000-10,000x

Q: Total expenditures in a country (in billions of dollars) are increasing at a rate of f(x) = 9.02x +…

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Q: Contaminated water is subjected to a cleaning process. The concentration of the pollutants is…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Task Oakland Coliseum, home of the Oakland Raiders, is capable of seating 63,026 fans. For each…

A: Given that: Total seating capacity = 63026 fans                    Each ticket costs = $30.0

Q: The figure shows graphs of r', the rate of change of revenue, and c', the rate of change of costs…

A: (a) Profit=revenue-costThe rate of change of revenue r' and rate of change of costs c' is given.The…

Q: The cost of mailing a first-class letter is $0.46 for the first ounce and $0.20 for each additional…

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Q: Tourism Spending The equationy = 1.69x2 -0.92x + 324.10,with x equal to the number of years after…

A: The given equation for tourism spending is y=1.69x2-0.92x+324.10 In above equation x is number of…

Q: The cost C (in millions of pesos) of removing x percent of the pollutants emitted from the…

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Q: Explain linear function? Provide a real-world example of a linear function that explains the rate of…

A: Solution

Q: A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 13…

A: NOTE: Refresh your page if you can't see any equations. . here the length of the cardboard is…

Q: A consultant has issued an environmental report on the cost of cleaning up a property that was…

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Q: MODELING REAL LIFE A dolphin eats 30 pounds of fish per day. a. Write and graph a function that…

A: Given,  A dolphin eats 30 pounds of fish per day   a. We have make the graph of function that…

Q: Your cardiac index is your heart's output, in liters of blood per minute, divided by your body's…

A: a) Find the cardiac index of a 32-year old. Express the denominator in simplified radical form and…

Q: careena like throwing rocks at the ocean. when she throws the rock upward from 160 ft above the…

A: The function that models the height of the rock is ht=-16t2+48t+160, where t is in seconds. The rock…

Q: Sarah is conducting a science experiment where she initially has a population of 4 fruit flies.…

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Q: The pressure P on a diver's body is a linear function of the diver's depth x feet below the surface…

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Q: x Mileage An automobile tire manufacturer collected the data in the table relating tire pressure x…

A: Here, the given function is: f(x)=-0.589x2+38.1x-561

Q: The gas tank of a certain car contains 16 gal when the driver of the car begins a trip. For each…

A: Given that:Initial volume of gas=16 galRate of decrease of gas per mile=0.032 gal/mile

Q: The table shows data for a linear function and an exponential function. x f(x) g(x) 2 9. 385 3 27…

A: Given table    x f(x)  g(x)  2 9 385 3 27 388 4 81 391 5         One of the given…

Q: The number of cells in a blue container doubles each day. The number of cells in a red container…

A: We use her deduction method to describe the type of functions.

Q: derive the function rule that models each situation. 1. thirty percent of the amount of a drug is…

A: A(t)=A0ekt where A(t) is amount drug remain in body. A0 is amount drug taken by body. k is…

Q: Measuring the speed of sound in the ocean is an important part of marine research. One application…

A: Given: Speed of the sound at the surface = 1534 m/s increase in speed per km of depth = 20m/s S =…

Q: A baseball team plays in a stadium that holds 55,000 spectators. With the ticket price at $10, the…

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Q: . A wholesaler sells a product by pound (or fraction of pound); if not more than 10 pounds are…

A: Given information: A wholesales sells a a product for P 100 when not more than 10 pounds are…

Q: The fixed cost of producing a product is $100. The variable cost per unit is $5. If x units are…

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Q: The table shows the population growth of mice over five years in a laboratory Decide whether the…

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Q: I want to fence in a square vegetable patch. The fencing for the east and west sides costs $6 per…

A: Since, it is given to be a square vegetable patch, the lengths of all sides are equal, given to be x…

Q: Water boils at 212° F at sea level and at 200° F at an elevation of 6000 ft. Assume that the boiling…

A: Topic: slope and linear function

Q: I want to fence in a square vegetable patch. The fencing for the east and west sides costs $6 per…

A: Given Cost of fencing in east and west = $6 per foot Cost of fencing in north and south = $4 per…

Q: A baseball team plays in a stadium that holds 54,000 spectators. With the ticket price at $10, the…

A: Given, Capacity of the stadium =  54,000 spectators  ticket price = $ 10  When ticket price at $10,…

Q: A wholesaler sells a product by pound (or fraction of pound); if not more than 10 pounds are…

A:

Q: Blood Alcohol Percent The table below gives thenumber of drinks and the resulting blood alcohol…

A: To find the equation

Q: Belinda wants to invest $1000. The table below shows the value of her Investment under two different…

A: Given: Belinda wants to invest $1000. Consider the table given. Number of years 1 2 3 Option 1…

Q: - (a) What is the slope of a linear function? How do you find it? What is the rate of change of a…

A: A linear function is a function having linear relations between the dependent term y and independent…