If the monthly consumption of water is less the 2800 gallons then $9.48 is charged and if 2801-5500 gallons is used then the rate to be charged will be $15.80. Please derive a piecewise function to represent this scenario given.

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

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Q: If the original function defined by y=4^x, how would it change if y=2 times 4 ^(x-3) +1 were graphed…

A: By graphing, I have shown below the transformation and the graph is shown with the indicated units.

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

A:

Q: Suppose that Bianca walks at a constant rate of 3 miles per hour. Explain what it means that the…

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

A: After 12 hours of burning, the height of candle is 27.8 cm. After 27 hours of burning, the height is…

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

A: Explained below

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A:

Q: If a linear function has positive rate of change, does its graphslope upward or downward?

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

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: B. Describe in your own words what a vertical line test is in egards to mathematical functions.

A: In mathematical functions, the vertical line test is a easy way to determine if a curve is a graph…

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

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A: According to the given information:Let ‘x’ be the number of hours an employee work and t(x) be the…

Q: (0, 3) 2 1- (2.0)

A:

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

A:

Q: Can the graph of a one-to-one function intersect a horizontal line more thanonce? Explain.

A: A one-to-one function f(x) is defined as, Thus, we can infer from the above definition of a…

Q: What can you conclude about the inverse of a function y = ƒ(x) whose graph is a line through the…

A: Given Data The function is y=f(x).   The graph is a line through the origin with a nonzero slope m.…

Q: Complete the equation for the piecewise function graphed below. 6+ -7 -6 -4 -3 -2 -I -3 -4- -6- { if…

A: Equation of straight line passing through (xo , yo) with slope m is given by,              Y - yo…

Q: EAT has been selling their very own Platinum Eco-Charger since the beginning of this semester. If…

A:

Q: If electricity has a minimum monthly charge of $25.00 and a charge of $0.40 cents per unit kilowatt…

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Q: A concert hall has a maximum capacity of 4050. When the ticket price is $31.00 the average…

A: We have to find the function that models the per concent revenue in terms of the attendance x.

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Q: You purchase a luxury platinum iphone case for your sweetheart for $3,587 for a company in Dubai and…

A: Total Amount is $3587.Monthly installment is $211.Let the total number of moth required be m.Then…

Q: Give the formulas for the piecewise function graphed at right. if f(2) if

A: The first line , where -6≤x≤-1passes through (-5 , -2) & (-1 , -4)∴ Slope , m =-4-(-2)-1-(-5)⇒ m…

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A: Given The demand for the college newspaper was 2,000 copies each week when the paper was given free…

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

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Q: Explain why if a horizontal line intersects the graph of a function in more than one point, then the…

A: Given:  why if a horizontal line intersects the graph of a function in more than one point, then the…

Q: Every month your cellphone plan costs P3,750.00 and gives you unlimited talk, 500 text messages, and…

A: Given the data.

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

A: Suppose that m represents change in height per hour and X represents the number of hours the candle…

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…

A:

Q: A manufacturer of graphing calculators has determined that 12,000 calculators per week will be sold…

A: To write the linear equation

Q: Suppose an insect population increases by a constant number each month. Explain why the number of…

A: Given : An insect population increase by a constant number each month.

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Q: Suppose the weight of a 2-year-old is 28 pounds. When the child is 5, he weighs 58 pounds. Determine…

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Q: What is the significance of the point where the graph of a linear function and its inverse intersect

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Q: Find the points on the graph of the function that are closest to the given point. f(x) = x² – 9, (0,…

A:

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

A: Given query is to find the height of candle after 14 hours.

Q: Is y=2x+1 a function or not?

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Q: A mobile plan charges a base monthly rate of $10 for the first 500 minutes of air time plus a charge…

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

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Q: A cab company charged $0.25 per mile as well as a flat fee of $2.50 just for taking a ride in the…

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Q: A manufacturer of economy cars has determined that 52,000 cars per month can be sold at a price of…

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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…

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Q: Find the points on the graph of the function that are closest to the given point. fx) %3D х2 - 3,…

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Q: What is peculiar about the sloe of a functionbefore and after a point of inflection as compared with…

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Q: During a nine-hour snowstorm, it snows at a rateof 1 inch per hour for the first 2 hours, at a rate…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.