The growth rate of the speed of sound in relation to the temperature in degrees Fahrenheit is a linear function. The speed of sound at 0 degrees Fahrenheit is 1052.3 feet per second. For every 1 degree Fahrenheit rise in temperature, the speed of sound increases by 1.1 feet per second.  A. Identify the initial value of linear function that gives the speed of sound in terms of temperature. B. A 20 degree Fahrenheit rise in temperature would provide what increase in the speed of sound? C. What would the speed of sound be after a 67 degree Fahrenheit rise in temperature?

Q: The deer population of a forest is given by the linear function P = -15t + 320, where P is the…

A: P=-15t+320 Here, P is the number of deer and t is the number of year since 2005

Q: The number of women in the workforce, based on data and projections from 1950 to 2050, can be…

A: This is a problem of application of differential calculus.

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Q: A baby weighs 10 pounds at birth, andthree years later the child’s weight is 30 pounds. Assumethat…

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Q: A local fruit company recently released a new flavor of applesauce. By the end of the first year,…

A:

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Q: Find a linear function that models the cost, C, to produce x toys given the rate of change and…

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Q: 9. Starbucks noticed that when they charged $2.50 for a cup of coffee, they sold 230,000 Ibs of…

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Q: Public school​ per-student expenditures increased approximately linearly from $0.8 thousand in 1970…

A:

Q: A balloon leaks air (changes in volume) at a rate of one-third the volume per minute. Write an…

A: Given : A balloon leaks air (changes in volume) at a rate of one-third the volume per minute.

Q: A new piece of farm equipment was purchased for an amount of B dollars. The value of this equipment…

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Q: Which situation can be modeled by a linear function? A. The population of bacteria triples every…

A: To determine which of the given situations can be modelled as a linear function.

Q: In 2000, the life expectancy of females born in a certain country was 79.7 years. In 2008, it was…

A:

Q: What is the rate of change of the linear function in the following graph? 2.

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Q: In 2005 a record 51.5% of paper consumed in the US was recycled.  The American Forest and Paper…

A: Given, In 2005 a record 51.5% of paper consumed in the US was recycled.  The American Forest and…

Q: A baseball team plays in a stadium that holds 58000 spectators. With the ticket price at $11 the…

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Q: Data from 2005 for various age groups show that for each $100 increase in the median weekly income…

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Q: Mortgage Delinquencyes The percentage of borrowers in the highest riskcategory who were delinquent…

A: Mortgage Delinquencyes The percentage of borrowers in the highest risk category who were delinquent…

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

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Q: The number of people afflicted with the common cold C in the winter months steadily decreased by 212…

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Q: In 2000, the life expectancy of females born in a certain country was 79.7 years. In 2008, it was…

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Q: a) Use the first and last data points in the table to find a linear function in which y represents…

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Q: (2) The number of women in the workforce, based on data and projections from 1950 to 2050, can be…

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Q: A machine is now worth ​$157,700 and will be depreciated linearly over a 6​-year ​period, at which…

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Q: Each month, a salesman earns a base salary of $621.00 plus 5% commission on sales. Use C for total…

A: Total monthly compensation is C in dollars. Total monthly sales is S in dollars. Consider the part…

Q: public school per-student expenditures increased approximately linearly from $0.8 thousand in 1970…

A: Per-student expenditure in 1970 = $0.8 Per-student expenditure in 2010 = $10.6 Let per student…

Q: From 2000 through 2014, the percentage of Americans living below the poverty level is given…

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Q: consider this scenario: the number of people afflicted with the common cold C in the winter months…

A: The number of people afflicted with the common cold C in the winter months steadily decreased by 218…

Q: Write the function of the linear model for the amount of usable fabric sheeting produced in t…

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Q: A rental car company offers a rental package for a mid-size car. The cost is comprised of a fixed…

A: Given, Fixed rent of mid size car = $ 40  Variable rent of mid size car = $ 45  per day  We have to…

Q: Ivan is driving to New York City. Suppose that the distance to his destination (in miles) is a…

A:

Q: Assume that the growth of the membership of a country club was linear from 1996 to 2000 with a…

A: The growth of the membership of a country club was linear from 1996 to 2000 with a membership of 232…

Q: A local fruit company released a new flavor of applesauce. After 1 year, the profits on this product…

A: NOTE: Refresh your page if you can't see any equations. . after 1 year, the profit was $29000 after…

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

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Q: A baseball team plays in a stadium that holds 60000 spectators. With the ticket price at $9 the…

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Q: You have just opened a new dance club, Swing Haven, but are unsure of how high to set the cover…

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Q: A businessman decides to purchase a second facility after his annual sales reach $1.500,000. In…

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

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Q: A baby weighs 10 pounds at birth, andthree years later the child’s weight is 30 pounds. Assumethat…

A: Given the weight of a baby at time of birth is 10 pounds and three years later weight is 30 pounds.…

Q: Hideki is draining a 45 gallon aquarium at a rate of 15 gallons per minute what is the initial value…

A: This question is related to linear function, we will solve it using given information.

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: in testing an experimental diet tor hens, it was determined that the average ive weight w (in grams)…

A: Given, Average weight of the hen (w) is the linear function of no. of days (d) when d =0  then w =…

Q: Some pedometers have a default setting that assumes that the number of steps a person must take to…

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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.