At home or in your community, look for the at least three (3) situations that could represent functions. From the identified situations, write a sample problem and its corresponding function equation. Example: Situation: The budget for food is a function of the number of family members. Problem: Reyes family has Php P1,500.00 food budget for each member of their family in a month. Express the total food budget (B) as a function of number of family members (n) in one month. Function: B(x) = 1500x %3D Assessment Write the chosen letter on a

Q: Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in…

A: let  x=h,y=t x1=22,x2=20.3 y1=10,y2=27

Q: We have seen that temperature in Fahrenheit is a function of temperature in Celsius. Is it also true…

A: It is given that Farenheit is a function of temperature in Celcius.And the temperature in Celsius…

Q: Suppose the annual profit for a store was modeled by the function :                 P(x) = - 0.2x3…

A: Given:               The annual profit for a store was modeled by the function :…

Q: Find the slope of the graph of the function at the given point. f(x) = 4(9 − x)2;    (9, 0)

A: Given,  The function is f(x) = 4(9 − x)2;    (9, 0).

Q: An antique table increases in value according to the function ​v(x)=950​(1.07​)x ​ dollars, where x…

A: Given data-  We have given a function  v(x) = 950​(1.07​)x dollars.  x = No. of years after 1980. We…

Q: Why is it important to graph a set of data before trying to find an equation or function to model…

A: Graphing a set of data will be helpful in finding the type of function it models.

Q: Write an equation for the function graphed below 4- -7 -6 -5 -4 -3 -2 -1 2 3 4 $ 6 7 -4 -

A:

Q: Write an equation for the function graphed below 5+ 4 3. 2- -7 6 5 4 3 4 -1 -2 -3 -4 y =

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Q: The cost of renting a car for a day at Cars Plus is $20 plus 10 cents per mile driven. If you were…

A:

Q: Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in…

A: The height(cm) of the candle is a linear function of the amount of time (in hours) it has been…

Q: If variable  is a function of variable , which is the independent variable and which is the…

A: It is given that a varible is a function of varible.So let consider an independent varible y and x…

Q: Why should the definitions of increasing and decreasing functions must be satisfied by every pair of…

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Q: A manufacturer of economy cars has determined that 54,000 cars per month can be sold at a price of…

A:

Q: According to 2010 census data, Houston was the fourth largest city in the US. In 2011, its…

A: Given :  Population in 2011 is 2145,000 which is increase of 2.2% compared to the 2010 Let…

Q: The profit for a product can be described by the function P(x)=202x-5500-x^2 dollars, where x is the…

A:

Q: Explain Functions of More Than Two Variables?

A: A real valued function of n variables is a function that takes as input n real numbers, commonly…

Q: Use the terms domain, range, independent variable, and depen-dent variable to explain how a function…

A: A function f from a set A to another set B is a rule that associates each element of set A, a unique…

Q: How many x-intercepts can the graph of a function have? How many y-intercepts can the graph of a…

A: A graph of function can have infinitely many x-intercepts. For example: Sine function and cosine…

Q: Based on market data, a shoe company estimates that the relationship between the price, p, of a pair…

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Q: What is the slope of the function f (x) = 6x³ - 7x + 4 when x = -1

A: Slope measures the rate of change in the dependent variable as the independent variable changes

Q: Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in…

A: Consider the given: Let at any time x and y be the height of the candle. Also, height of a candle is…

Q: What is the domain and range of the piecewise function, and what are the x-intercepts and…

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Q: Is the type of function a quadratic function, absolute value function, cubic function, or a constant…

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Q: According to the Social Security Advisory Board, the number of workers per beneficiary of the Social…

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Q: In 1984 the population density of a country was 63 people per square mile, and in 1999 it was 75…

A: For the points (x1 ,y1 ) and (x2,y2), the slope is given by the formula m=y2-y1x2-x1 For the…

Q: The bar graph shows the amount, in billions of dollars, that the United States government spent on…

A: (As per bartleby guidelines for questions containing more than one subparts only three subparts are…

Q: Explain how the graph of the function compares to the graph of y = f (x) .

A: y=-12f(x)

Q: Scientists in Malaysia have collected data revealing that there is a linear relationship between the…

A: Ix=2.41+0.12x (a) Substitute 70 for x into provided linear model. I70=2.41+0.1270=2.41+8.4=10.81 cm…

Q: At home or in your community, look for the at least three (3) situations that could represent…

A: Budget for each member = Php 1500 Let, The family contains 'n' members ,. Then,

Q: In 1976 the population density of a country was 55 people per square mile, and in 2001 it was 75…

A:

Q: Write an equation for the function graphed below 5+ 4 3 2 -7-6 -5-4 -B -2 -1 3 4 5 6 7 -2 -3 -4 -5 y…

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Q: My square orchid garden abuts my house so that the house itself forms the northern boundary. The…

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Q: If variable B is a function of variable A, which is the independent variable and which is the…

A: It is given that B is a function of A that is, for any value of A, there is a value of B related to…

Q: our cell phone carrier is offering you a new iPhone 12 for $800 with a $60 monthly plan. The total…

A: Your cell phone carrier is offering you a new iPhone 12 for $800 with a $60 monthly plan. The total…

Q: Suppose that the selling price p of an item for the quantity x sold is given by the function p=-1/5…

A: Revenue, R(x) = Price x Quantity Hence, R(x) = [-(1/5)x + 50]x = 50x - (1/5)x2

Q: A farmer finds there is a linear relationship between the number of bean stalks, n, she plants and…

A: Let x be the number of stalks she plants and y be the amount of beans, each plant yields. Consider…

Q: Find the slope of the graph of the function at the given value. f(x)= 2x² + 4 when x = 5

A: Slope of graph of function at given point is first derivative of function at that point.

Q: Is the following real world example a linear function or a nonlinear function? Explain why

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Q: n a furniture company, the three employees read their contract which stated that their basic salary…

A: Let, the price of the furniture be x.

Q: A manufacturer of economy cars has determined that 50,000 cars per month can be sold at a price of…

A: Solution: A linear function that predicts the number of cars that will be sold at a price of x…

Q: Write an equation for the function graphed below 5 4 2 1 - + + -7 -6 -5 -4 -3 -2 -1 1 2 4 5 6 7 -2…

A: From the given figure, the vertical asymptotes are x=-3 and x=3, horizontal asymptote is y=-1 and…

Q: What is linear property of the mathematical function?

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Q: A party planner needs to figure out how much it will cost her client to rent a space and pay person…

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Q: A freight delivery company charges $4/kg for any order less than 100 kg and $3.50/kg for any order…

A: Let the weight of the order is x kg. From given information we see that when x varies then total…

Q: What is the x - intercept of the function whose graph appears below: 3 2 -3 -2 2 3 -2 -4

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Q: manufacturer of electronic parts has a fixed cost of $410 and a variable cost of $17 per part…

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Q: The total attendance at a contemporary art museum is modeled by the function f(x)=18,933(1.047)x. If…

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Q: A banquet hall charges $975 to rent a reception room, plus $39.95 per person. Next month, however,…

A: Suppose cost of an article is $x and after offering y% of discount, the discounted cost will be $x-x…

Q: Jason opened a savings account with Php550 initial deposit. Each month after he pays his bills, he…

A: Given that Jason opened a savings account with Php550 initial deposit. Each month after he pays…