Which of the following statements describe a functions? OA amount of revenue a pretzel company makes is a function of how many pretzels are sold. O The number of meters walked is a function of the average rate of travel A towns yearly average income is a function of the year. A persons income is a function of their place of residence

Q: Write the following statements in function notation. Determine the independent and dependent ` The…

A: A function notation is nothing but writing the dependent variable as a function of the independent…

Q: Which of the following is not true about function? a. Function is composed of two quantities where…

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Q: You are a crew in a convenience store that pays an hourly wage of P45.00 and 1.5 times the hourly…

A: Note some cases : Suppose wage of per hour is given as Px .If we works for n hours then total earn…

Q: A power station is on one side of a river that is one-half kilometer wide. A factory is 5 kilometers…

A: Given the data

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: Mike's monthly income can be modeled by the function m(x)= 0.08x+2000 and An monthly income can be…

A:

Q: 2. Susan decides to open a math tutoring center. She found a nice office that she can lease for $400…

A: Given, She pays 400 dollars for office per month and charge 25 dollar per hour for her tutoring…

Q: A factory with an assembly line can produce more automobiles per week as more employees are working…

A: We have given that A be the number of automobiles per week and w be the number of workers at a given…

Q: 4. Describe the set of inputs, the function rule, and the set of outputs for each function. 1. The…

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

Q: Lashonda is a software salesperson her base salary is $2400 and she makes $50 more for every copy of…

A: His base salary is $2400 ,and she makes an additional $50 for every copy. copy = c total pay = p…

Q: While on vacation in France, Sadie bought a box croissants. Each croissant cost 2.4 euros. Write a…

A: Each croissant cost 2.4 euros.Hence, the function that represents the cost in euros for x croissants…

Q: Tyra subscribes to an online gaming service that charges a monthly fee of $5.00 and $0.25 per hour…

A: Given: Tyra subscribes to an online gaming service that charges a monthly fee of $5.00 and $0.25 per…

Q: A piece of wire is 8 inches long. The wire is cut into two pieces and then each piece is bent into a…

A: A piece of wire is 8 inches long. The wire is cut into two pieces and then each piece is bent into a…

Q: for his service, a private investigator requires a $650 retainer fee plus $55 per hour. let x…

A:

Q: Grace is going to launch a model rocket in her back yard. When she launches the rocket, the function…

A: given, function of height of rocketh(t)=-16t2+32t+48when rocket launches its height will be zero.

Q: A car costs x wholesale. The price the dealer pays is given by the function s(x) = = x-1 – 200 where…

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Q: The amount of fuel remaining in the gasoline tank of an SUV is a function of the number of hours, h,…

A:

Q: A concessionaire at a football game pays a vendor $40 per game for selling hot dogs at $1.50 each.…

A: A concessionaire at a football game pays a vendor $40 per game for selling hot dogs at $1.50 each.…

Q: Assume a car uses gas at a constant rate. After driving 25 miles since a full tank of gas was…

A: Assume y to be number of miles and x to be a number of gallons left. For constants m and b the…

Q: Shoe sizes are marked differently in many countries. In Japan, a shoe size is 16 more than the size…

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Q: B. Tamara is driving to her parents' house for a visit. For the first one and a half hours of her…

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Q: 3. Jack is paying for his groceries with a $100 bill. The amount of change he receives depends upon…

A: It is given that Jack is paying for his groceries with some amount of money and the amount of change…

Q: n advertiser goes to a printer and is charged $37 for 80 copies of one flyer and $55 for 260 copies…

A: Printer charged $37 for 80 copies of one player and $55 for 260 copies of another player. We have to…

Q: Tamara is driving to her parents’ house for a visit. For the first one and a half hours of her trip,…

A:

Q: A taxi company charges for rides according to the following. The cost for every ride starts at…

A:

Q: 2. Susan decides to open a math tutoring center. She found a nice office that she can lease for $400…

A: Susan's monthly income y can be represented as follows:

Q: Which of the following best describes the range of a function? [A] : It represents all possible…

A: We have to find which of the following best describes the range of the function.

Q: When at a restaurant, you tip the wait staff a different percentage based on the price of your meal.…

A: Given, Function is tip. Let T(c) be the function. where, T = %tip c = cost of meal (in $)

Q: A company's revenue from car sales, C (in thousands of dollars), is a function of advertising…

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Q: Which relationship is NOT a function? Input Output the prices throughout the year of the items in a…

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Q: A salesperson's monthly salary in Toyota Albay (S) is a function of the number of cars he sells (n).…

A: topic - function

Q: Ethan has a total of $5,800. He deposits $4,500 into a savings account which earns an annual…

A: Given: rate of interest =4.8%=0.048 Initial amount = $4500.

Q: We sell baby strollers. If price per stroller is p, we sell q = 300, 000 – 10p² s a function of…

A: Given information: Given that the price per stroller is p. The selling price is q = 300,000 – 10p2.

Q: Pizza Hut charges P 499 for a pizza plus P 35 for each topping. Express the total cost of a pizza C…

A: Pizza Hut charges $499 for a pizza plus $35 for each topping. Express the total cost of a pizza C…

Q: The Fahrenheit temperature reading F is a function of the Celsius reading C. The function can be…

A:

Q: State whether the function is increasing, decreasing, or neither.(a) Surface area of a sphere as a…

A: Hey, since there are multiple sub-parts posted, we will answer first three sub-parts. If you want…

Q: While traveling across the country on a road trip, Hadassah passes the Indiana state line. Let d be…

A: The given displacement function is, d=ft=0.018t2+1.07t

Q: the number of IBM shares that Nancy owns is given by f(t). The price per share of the stock of IBM…

A: Given that : f(t) = Number of IBM shares that Nancy owns. g(t) = Price per share of the stock of IBM…

Q: A frozen yogurt store charges based on how many ounces of yogurt, y, a customer puts in their cup.…

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Q: A person's height depends on their age. (a) This situation describes a function, y = f(x), where the…

A:

Q: Jeff delivers pizza for Papa Jim’s Pizza. Papa Jim’s pays Jeff $6.75 per hour. In addition to this…

A: It is known thathourly salary of jeff=$6.75 per hourand jeff's earning over each pizza=$0.65

Q: --Sox+ 800 where q is the number of shirts you can sell in one week if you charge s per shirt. The…

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Q: RyAnne has 8 coins and decided to begin a collection.    On the first day of collecting, she has…

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Q: a) In two well-expressed sentences, interpret the following piecewise-defined function that models…

A: We are solving first que only as these two are independent questions. If you want other to be…

Q: A. Which of the following statements describe functions? O A amount of revenue a car company makes…

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Q: Plan A has a monthly fee of $15 with a charge of $0.05 per text. Plan B has a monthly fee of $5 with…

A: Let: Monthly fee be m.Charge per text message be c.   a) For plan A: Monthly cost…

Q: Jada walks to school. The function D gives her distance from school, in meters, as a function of…

A: For a function, y=f(x), x is the independent variable and y is the dependent variable.…

Q: An advertiser goes to a printer and is charged $37 for 50 copies of one flyer and $49 for 238 copies…

A: Given: An advertiser goes to a printer and is charged $37 for 50 copies of one flyer and $49 for 238…

Q: Your favorite dog groomer charges according to your dog's weight. If your dog weighs 15 pounds or…

A:

Q: Charles 'n Marge sell custom-build cabinet units for motor homes. The function P(x) = – 1.5x? gives…

A: You have posted multiple subparts. As per the instruction, we will be answering only the first three…

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.