The monthly cost (in dollars) of water use is a linear function of the amount of water used (in hundreds of cubic feet, HCF). The cost for using 20 HCF of water is $32.46, and the cost for using 56 HCF is $81.06. What is the cost for using 48 HCF of water?

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: A photocopy service has a fixed cost of $2000 per month (for rent, depreciation of equipment, etc.)…

A:

Q: Biologists have noticed that the chirping rate of crickets of a certain species is related to…

A:

Q: Suppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in…

A: We need to find weigh of plane at 66  gallons of fuel.

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A: Linear function has variable in power of 1 only, i.e., there is no power of variable more than one.…

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

Q: An account executive receives a base salary plus a commission. On $20,000 in monthly sales, an…

A:

Q: Let x represent temperature in degrees Fahrenheit and y be the number of cricket chirps per minute.…

A: Given: x is the temperature in degrees Fahrenheit y is the number of cricket chirps per minute x =…

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: How can you tell right away if a function is Quadratic vs. Linear?

A: A function is Quadratic vs. Linear

Q: The manager of a furniture factory finds that it costs $2200 to produce 100 chairs in one day and…

A: Let,  C(x) is a linear function that models the cost of producing xchairs in one day. To find : The…

Q: A landscaping company charges $46 per cubic yard of mulch plus a delivery charge of $29. Find a…

A: the solution is given below

Q: The credit remaining on a phone card (in dollars) is a linear function of the total calling time…

A: Write the linear equation of the line using two point form then calculate the third point according…

Q: Suppose that the monthly cost of a long-distance phone plan (in dollars) is a linear function of the…

A:

Q: The monthly cost (in dollars) of water use is a linear function of the amount of water used (in…

A:

Q: Bill was just offered a sales position for a computer company. His salary would be $15,000 per year…

A: Given: His salary is $15,000 per year plus 1% of his total annual sales.

Q: Bill was just offered a sales position for a computer company. His salary would be $25,000 per year…

A: We will use linear function for salary as function of sales to find required values

Q: It costs $3 per hour to park in a parking lot, with a maximum cost of $12. Explain why the amount of…

A: Authoring guidelines: As per the authoring guidelines, we can solve only the first question.Please…

Q: Suppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in…

A: From the given data the airplane weight and the fuel is a linear function with the points (20,2130)…

Q: 00- 66.6 67.4 69.8 70.9 74.3 75.4 50-

A:

Q: The cost C of purchasing chocolate-covered crickets varies directly with the weight W in pounds.…

A: Follow the procedure given below.

Q: Which is the equation of the function?

A: Using Desmos, we get the graph of the functions as follows. The RED represents the function…

Q: The education of women in Oman in the year 1999 was (30+S) percentages. It was increased to (75+R)…

A: Women education in Oman: Given: S=1 and R=5. In year 1999 - (30+S)%=31% In year 2015 - (75+R)%=80%.…

Q: Suppose that the weight (in pounds) of an airplane is a linear function of the total amount of fuel…

A:

Q: The monthly cost (in dollars) of a long-distance phone plan is a linear function of the total…

A: We can write two Equations. And help of the equations, We find monthly cost. Let "x" be cost of 1…

Q: The monthly cost (in dollars) of a long-distance phone plan is a linear function of the total…

A: from the question for a linear function, our co-ordinates will be (37,18.68) and (71,21.74) slope of…

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

A:

Q: Write a linear function that relates y to x . y 3 2 1. 2 3 4 5 x

A: we know that a straight line given by formula y-b=m(x-a) where m is slope of line

Q: Jason has a baby daughter. When she was first born, she was 19 inches long, and she grows 3/4 of an…

A: Her height when she was born = 19 inches. She grows = 3/4 inches per month. Her height grows in a…

Q: the monthly cost (in dollars) of water use is a linear function of the amount of water used (in…

A: Let m represents the cost of water per HCF. X represents the number of HCF of water used. And k…

Q: A store charges 1.50 for a 20-oz bottle of sport drink. Which equation best represents the total…

A:

Q: An account executive receives a base salary plus a commission. On $40,000in monthly sales, an…

A: To determine a linear function that yields the compensation y of a sales executive for a given…

Q: The monthly cost (in dollars) of a long-distance phone plan is a linear function of the total…

A:

Q: find a linear function that models the relationship between the two variables and describe the slope…

A:

Q: A house purchased for $250,000 in 2010 increases in value by $10,500 each year. a. Express the value…

A: Explained below

Q: The number of people afflicted with the common cold in the winter months dropped steadily by 25 each…

A: As ‘C’ denotes the number of people afflicted with common cold and let ‘t’ be the years after 2002…

Q: In 2009 the number of vehicle sales in the United States was 10,602 and in 2013 it was 15,884.…

A:

Q: The monthly cost (in dollars) of water use is a linear function of the amount of water used (in…

A:

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: The monthly cost (in dollars) of a long distance phone plan is a linear function of the total…

A: The monthly cost is the sum of the fixed cost and variable cost. The variable cost can be written as…

Q: The credit remaining on a phone card (in dollars) is a linear function of the total calling time…

A: Slope of  a line is constant all the way along it. So slope of a line can be calculated using any…

Q: The monthly cost (in dollars) of water use is a linear function of the amount of water used (in…

A: Recall: y=mx+c

Q: The profit earned by selling soap at a craft show can be modeled by the graph of the linear function…

A: The formula for the rate of change is given by y2-y1x2-x1. From the given graph, observe that the…

Q: A downtown parking lot charges $5 per hour for the first 2 hours, then 2.50 per hour after that.…

A: Given that for first 2 hours parking charges = $5 per hour and after 2 hours parking charge = $2.50…

Q: An account executive receives a base salary plus a commission. On $20,000 in monthly sales, an…

A: (a) Let x be the monthly sales amount and y be compensation amount. If x = $20000, then y = $2600…

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

A: Here the height of the candle and the time are in a linear relationship. So first, we have to…

Q: In a Washington town, the charge for commercial waste collection is $694.55 for 5 tons of waste and…

A:

Q: In physics, the (absolute) pressure P in newtons per square meter at a point h meters below the…

A: Let the equation of pressure represent following equation  P = ah + b   .... (A)

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.