FUNCTIONS During typhoon Ambo, PAGASA tracks the amount of accumulating rainfall. For the first three hours of typhoon, the rain fell at a constant rate of 25mm per hour. The typhoon slows down for an hour and started again at a constant rate of 20 mm per hour for the next two hours. Write a piecewise function that models the amount of rainfall as function of time

Q: There are approximately 3,000 bass in a lake. The population grows at a rate of 2% per year. The…

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Q: On Monday, a dental hygienist cleans teeth of 5 patients by the time she takes her lunch break at…

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Q: The Circle "K" Club is planning a service project for children at a local children's home. They plan…

A: Given that Delivery fee of cost of a moon walk=$90 Cost for each hour$20 To find A function that…

Q: A bacteria culture contains 1500 bacteria initially and doubles every hour. a. Find a function N…

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Q: The number of chirps per minute, C, that the tree cricket makes is linearly dependent on the…

A: Given:The crickets do not chirp at all below 40 degrees and they chirp about 161 times per minute at…

Q: A videoke machine can be rented for P500 for a day, but for the 2nd day onwards, an additional cost…

A: topic - piecewise function

Q: Shell gas station is having a sale on diesel. If you buy 6 gallons or less, you pay the regular…

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Q: ndraiser offers raffle tickets for ​$12 each. The prize for the raffle is a ​$450 television​ set,…

A: given:  raffle tickets = ​$12  The prize for the raffle = ​$450 television​ set

Q: Shell station is having a sale on diesel. If you buy 3 gallons or less, you pay the regular gas…

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Q: An interior designer wants to decorate a newly constructed house. The function f(x) = 49x² - 200…

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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: Personal Expenditures Personal consumption expenditures for durable goods in the United States,…

A: P(x) = 306.472x0.464, where x is the number of years after 1990. To rewrite this function with equal…

Q: (a) Alyssa is an ecologist who studies the change in the narwhal population of the Arctic ocean over…

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Q: A rectangle has a perimeter of 40 cm. Express the area of the rectangle as a function of the length…

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Q: Alpha is reading his novel for Literature class. After reading for 12 minutes, he has 51 pages left…

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Q: The bar graph shows your chances of surviving to various ages once you reach 60.The functions f(x) =…

A: Substitute the value of x=90 in f(x) =-2.9x+286. It means that the chance of a 60 year old…

Q: Write a function in terms of tt that represents the situation. A population of 100,000 decreases by…

A: Given: Population, P0 = 100,000, Rate of decrease, r = 2% each year, t is the number of years

Q: Shell gas station is having a sale on diesel. If you buy 5 gallons or less, you pay the regular…

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Q: Health Care Suppose that P1x2 represents the percentageof income spent on health care in year x and…

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Q: A car manufacturer offers a $2000 rebate, but the buyer must pay the 7% sales tax on the full price…

A: Given that  Rebate = 2000  Sales tax = 7%

Q: The atmospheric pressure p on an object decreases with increasing height. This pressure, measured in…

A: Given: p(h)=760 e-0.14h

Q: On his first day of school, Kareem found the high temperature in degrees Fahrenheit to be 76.1°. He…

A: The provided information is  On the first day of the school, kareem found the high temperature in…

Q: A salesperson makes a base salary of $1000 per month. Once he reaches $10,000 in total sales, he…

A: I am attaching image so that you understand each and every step.

Q: f(w) = 35w +10

A: A student is saving money in a bank account to buy a computer. The function f(w)=35w+10 Where f=…

Q: An anthropologist can use linear functions to estimate the height of a male or female, given the…

A: The length of the humerus x is in centimeters. We have to find the height of a male and a female if…

Q: Retail profit. It costs Liz $12 to build a picture frame. She estimates that, if she charges x…

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Q: what are the blanks

A: Given that the total space for the computer holds 600 gigabytes, that is 600,000 megabytes. Among…

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

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Q: A student is saving money in a bank account to buy a computer. The function f(w) = 35w + 10…

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Q: Looking around in your own country, discuss one practical application in which “piecewise functions”…

A: Given:  A therapist’s fee based on length of visit/time, up to 30 minutes cost $50, over 30 minutes…

Q: You own 80 rabbits. The momma rabbit has 10 babies every month. Write a function for how many…

A: Solution: The objective is to write a function for how many rabbits you will have in the future.

Q: Write an equation for a function whose graph fits the description given below. The graph of…

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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 function ww gives the average number of acres per farm in the United States in terms of the…

A: Answer for sub question 1: Given that wt gives the average number of acres per farm in the united…

Q: 1. Anton joined a golf club two years ago. He pays an annual membership fee of $895 and a greens fee…

A: given functionf(g)=895+30gwhere g is number of times he  played golf according to…

Q: A certain city's population has been in decline since 2010, at which time its population was…

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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: Describe a possible real-world situation that could be modeled by the function.

A: that is

Q: Discount City gives a 15% discount on all merchandise on Tuesdays. The sales tax rate is 5%. Write a…

A: This question can be solved by applying the concept of algebra of functions.

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

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Q: the sides of a square all have a side length of y.  Write a simplified function in terms of y for a…

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Q: a swimming pool in a hotel is draining at a rate of 3 feet per minute. What is the function,domain,…

A: Given, a swimming pool in a hotel is draining at a rate of 3 feet per minute. What is the function,…

Q: A car was purchased for $25,500. The value of the car decreased by $3200 per year for the first six…

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Q: A concessionaire at a football game pays a vendor $40 per game for selling hot dogs at $2.50 each.…

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Q: A scientist used a microscope to count the number of bacterial cells in a petri dish every hour. The…

A: Here number of bacteria in each hour is given in the graph. We want to find the function that most…

Q: The function y = -16x2 + Vox + ho represents the height of an object, y, in feet, above the ground…

A: The function is given to determine the height of an object at a time x, y=-16x2+v0x+h0. Here, v0, h0…

Q: gas station is having a sale on diesel. If you buy 7 gallons or less, you pay the regular price of…

A: given when we buy 7 gallons or less the sale of the diesel is $2.19 per gallon.given when we buymore…