The math club is experiencing a growth in membership. On average, they are seeing a growth of 3% each week. If they started with 10 members which function, S(x), represents the number of members in the science club after x weeks?

Q: Each month, Joe’s Auto Parts uses exponential smoothing (with α=0.25) to predict the number of cans…

A: Given that α=0.25

Q: After declining between 1940 and 1980, the number of households has been increasing since 1980. Use…

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Q: How do YOU determine if the function is linear vs exponential?

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Q: If the starting point is 30, and the growth rate is 15%, choose the exponential function.

A: To find the exponential function with the given data

Q: 3. Suppose the current US population of approximately 350 million people increases by 1.8% every 2…

A:

Q: The concentration of salt x in a homemade soap maker is given as a function of time by

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Q: In 2011 a country had a population of 117 million and a growth rate of -0.372%.  Assuming that this…

A:

Q: Order the functions from slowest growing to fastest growing as x -o: 4x², (In x)³, 10*, and e2x

A:

Q: In 2010 there were 50,000,000 Latinos in the US. At the growth rate of 2.5% per year what will the…

A: In 2010 population size is 50,000,000 latinos in the US. Growth rate = 2.5% per year We have to find…

Q: The number of Instagram monthly active users (in millions) between 2013 and 2015 can be modeled…

A: The number of instagram monthly active users between 2013 and 2015 be the…

Q: The value of an investment is increasing exponentially. In year one the investment was 1500 and this…

A:

Q: According to the National Center for Health Statistics, in 1990, 28% of babies in the United States…

A:

Q: A team of researchers finds that there is a relationship between the overall health of a forest…

A: Given function: fx=13x3+676x5+39 where, x is in tens of thousand of beetles. f(x) is thousands of…

Q: When the price of a certain commodity is p dollars per unit, the manufacturer is willing to supply x…

A:

Q: Is this function linear, quadratic, or exponential?

A:

Q: How long would it take for a population to double if the population growth is 0.5%? please show your…

A:

Q: A team of researchers finds that there is a relationship between the overall health of a forest…

A: We need to find maximum number by drawing graph.

Q: What is the decreasing and what is the constant

A: follow next step

Q: A 8-inch sunflower is planted in a garden and the height of the sunflower increases exponentially.…

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: An endangered species has a population of 1,000,000 alive right now. This is only 0.3% of its peak…

A:

Q: Because of an economic slump, a company finds that its annual profits have dropped from 700 thousand…

A: First we shall find profit function with setting intial time 2006

Q: A factory machine was purchased for $45,000 and has an estimated lifetime of 8 years. If the scrap…

A: Solution:   Initial Value = 45000 Final Value =  3000 rate of depreciation = r t = Time period = 8…

Q: The aerobic rating of a person x years old is modelled by the function A(x) = 110(In x-2) for x 2…

A: The maxima and minima can be found for the function by differentiation. For the values of maxima the…

Q: After declining between 1940 and 1980, the number of households has been increasing since 1980. Use…

A:

Q: The exponential function with a base of 5 has been reflected in the X axis vertically compressed by…

A:

Q: Use the graph of the function to find its average rate of change from x = -9 to x -5. Simplify your…

A: average rate of change be "R"points x=-9 , x=-5Rate of change is gevn by R=f(b)-f(a)b-aat x=-9 ,…

Q: he average interest rate for a savings account in 2021 is 0.4% compounding continuously. How long…

A: Please refer to the image below

Q: A lab culture initially contains 500 bacteria. Two hours later, the number of bacteria decreases to…

A:

Q: In the year 1980, the city of Gumbolantenden had a population of 20,000. The population of…

A:

Q: The equation y=5x+3 represents an exponential function. How are the y-values related for points…

A:

Q: The accompanying table shows the number of bacteria present in a certain culture over a 4 hour…

A: From given data, X Y X*Y X*X 0 90 0 0 1 103 103 1 2 109 218 4 3 129 387 9 4 141 564 16…

Q: How do we use functions in real-life scenarios?

A: In simple terms, I would define a function as a machine that takes an input, and returns an output…

Q: A population of bears originally numbers 45000. After 2 years of growth at the same rate each year,…

A:

Q: The cost of a new television is $948. If the value of the television decreases by 4.5% every year,…

A: The exponential decay function is given by y=a1-r100t where a = initial value r = rate of decay t =…

Q: What are the linear and exponential functions whose graphs contain the points (0,4) and (3,108)?

A: Here we have to find the linear and exponential functions whose graphs contain the points (0,4) and…

Q: Personal care aide is an occupation that is growing quickly. Assume that, in a certain region, tehre…

A: Consider that in 2014 the number of personal care aides is x.

Q: You are investing $6000thatwillearn 5.0%interestcompounded continuously.How much is your investment…

A: The formula for continuous compounding is                                           Pt=P0ert…

Q: A bacteria culture starts with 100 bacteria and grows exponentially, after 1 hour the population is…

A:

Q: We opened this section with a study showing that late in the semester, procrastinating students…

A: Given;

Q: Suppose that the daily profit (in dollars) from the production and sale of x units of a product is…

A:

Q: 6.05% interest compounded continuously?

A:

Q: A scientist discovered a new material that expands at an extremely fast rate. After studying…

A: We have to use exponential growth function to solve the problem

Q: The number of wolves in the wild in the northern section of the Cataragas county is decreasing at…

A: P(t)=P0(1-r)t r is the rate of decreasingP0 is the initial populationP(t) is the population after t…

Q: Determine where the given function is increasing and where it is decreasing  45x3  -3x5

A: A function is increasing if f'(x) > 0 and decreasing if f'(x) < 0.

Q: An endangered species of fish has a population that is decreasing exponentially. The population 5…

A: We will use concept of exponential growth.

Q: In 2000, the average weekly salary for workers in the United States was $567. This amount has…

A: In 2000, the average weekly salary for workers in the United States was $567. This amount has…

Q: Joe scraped his knee after falling off his skateboard, leaving a wound with an area of 291 mm^2. The…

A:

Q: Use function notation to represent that your annual salary after working five years at your job is…

A: We will find the required function as following.

Q: Carbon dating presumes that, as long as a plant or animal is alive, the proportion of its carbon…

A: Given; A=Ao e^(-0.0001213)

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.