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 16 HCF of water is $33.50 , and the cost for using 33 HCF is $58.15. What is the cost for using 19 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: 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: 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 credit remaining on a phone card (in dollars) is a linear function of the total calling time…

A: The credit is a linear function of calling time.  After 20 minutes of call, remaining credit is…

Q: The education of women in Oman in the year 1999 was (30+5) percentages. It was increased to (75+R)…

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

A: Given, The monthly cost of water is a linear function of  amount of water .  For 20 HCF  of water ,…

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: 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.

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

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: Which linear function relates the total cost of renting a truck in dollars, C, to the number of…

A: here we take the information from the graph and the equation will be solution if satisfy the…

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

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

Q: Wyatt has a baby daughter. When she was first born, she was 20 inches long, and she grows 1 inch…

A: topic - linear function

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

A: Let f be a function such that  f(x) =y Then f-1(y)=x The point of intersection of the graphs of f…

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: A store charges 1.50 for a 20-oz bottle of sport drink. Which equation best represents 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: 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: The credit remaining on a phone card (in dollars) is a linear function of the total calling time…

A: Credit Remaining after 40 minutes call is 14.80$ Credit Remaining after 79 minutes call is 9.73$ we…

Q: James has a baby daughter. When she was first born, she was 18 inches long, and she grows 1/2 of an…

A: Given height when she was born is 18 inchesShe grows 12 of an inch every month

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: Suppose that a car’s worth depreciates at a constant rate.  You bought the car in 2002 for $18,000…

A: Bought the car in 2002 for $18000, after five years at 2007 price of the car becomes $12000.  Given…

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: Write a linear function that relates y to x. x 0 1.5 3 4.5 y 5 4 3 2.

A: See the attachment

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

A: Part (a) -Salary of Bill per year = 25000 $Salary of Bill for 1 sale = 1% of 1Salary of Bill for x…

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

A:

Q: *A $100,000 life insurance policy for males aged 41 costs $11.80. For males aged 46, the policy…

A:

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

A: Let y denotes the remaining credit on a phone card. And x denotes the total calling time made with…

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.