Suppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in gallons) in its tank. When carrying 20 gallons of fuel, the airplane weighs 2128 pounds. When carrying 35 gallons of fuel, it weighs 2224 pounds. How much does the airplane weigh if it is carrying 45 gallons of fuel?

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

A: NOTE: Refresh your page if you can't see any equations. . x=burning time  y=height of the candle…

Q: A landscaping company charges $43 per cubic yard of mulch plus a delivery charge of $27. Find a…

A:

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: A manufacturer of graphing calculators has determined that 10,000 calculators per week will be sold…

A: Given A manufacturer of graphing calculators has determined that 10,000 calculators per week will be…

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

A: Explained below

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: A landscaping company charges $47 per cubic yard of mulch plus a delivery charge of $26. Find a…

A: For 1 cubic yard of mulch, the cost is $73. Therefore total cost for x cubic yards of mulch is given…

Q: The manufacturer of graphing calculators has determined that 11,000 calculators per week will be so…

A: Given : Number of calculators = 11000 Price of each calculator = $85

Q: A manufacturer of graphing calculators has determined that 11,000 calculators per week will be sold…

A: The manufacturer will earn $1045000 in one week if he sold at $95. He will earn $1170000 if he sold…

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A: Monthly Sales (X) Compensation (Y) 30,000 2200 50,000 2800 Find the slope:

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A: A linear model between 2 variables x and y can be represented by the expression . Here, m is the…

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A: The current world's oil reserves is 2090 billion barrels. This means the current world's oil…

Q: Describe what is meant by a piecewise linear function.

A: A piecewise linear function is a function composed of straight-line sections. It is a…

Q: The z-intercept of the linear function

A:

Q: 4. A survey shows that if the cost to buy a shirt is $5.00 then 300 students are willing to purchase…

A: Let total cost of 1 shirt = C(x) x=number of students C(x)=ax+b When 1 shirt = $5 x=300…

Q: A small appliance manufacturer finds that his production costs is $1500 per month plus $6 for each…

A: A small appliance manufacturer finds that his production costs is $1500 per month plus $6 for each…

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

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

A: Consider the given: Let at any time x and y be the height of the candle. Also, height of a candle is…

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

A:

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

A: This question is about finding equation of line by given conditions

Q: An HVAC technician charges a flat fee of $99 and an additional $50 per hours. Express this as a…

A: Given that  An HVAC technician charges a flat fee of $99 and an additional $50 per hours. To Express…

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: 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: A manufacturer of graphing calculators has determined that 11,000 calculators per week will be sold…

A: Given 11000 calculators sold per week at price of 85 13000 calculators sold per week at price of  80…

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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: A salseclerk makes a base salary of $600 per week plus 15% commission on sales. Write a linear…

A: Given: Base salary of a week:  $60015%  commission on total weekly sale.

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

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A: Assume the length of one animal be L. So, the length of another animal will be L+5.

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

A:

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

A:

Q: A company paid $150,000 for a new 18-wheeler. When it is 9 years old it will be worth $60,000. Using…

A: The straight line depreciation means the value of truck decresing with the same amount every yearAt…

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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…

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A: The linear relationship between independent variable x and dependent variable y is give as :…

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

A: Linear function can be given by as y = mx+b

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

A: The linear function with a slope m and point (x1,y1) is given by  (y-y1) = m( x-x1)

Q: What is linear property of the mathematical function?

A:

Q: Which equation represents a linear function

A:

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: nds it can produce 10 heaters for $2700,while producing 15 heaters costs $3950. Express the cost, y,…

A: The problem gives us two points .10,2700 and 15,3950It was linear , so it fits the slope-intercept…

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

A:

Q: Suppose that you were 22 inches long at birth and 3.5 feet tall on your tenth birthday. a) Based on…

A: Linear model  y=mx+b   where b is initial value ( y intercept ) = length at birth  = 22 inches :…

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…

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