A manufacturer of economy cars has determined that 50,000 cars per month can be sold at a price of $9060 per car. At a price of $8710, the number of cars sold per month would increase to 57,000. Determine a linear function that predicts the number of cars that will be sold at a price of x dollars. N = ?   Use this model to predict the number of cars that will be sold at a price of $8360.(.  ) ?cars

Q: n 1980, the minimum wage was $3.10 per hour, and in 1997 it was $5.15 per hour. Find a linear…

A: In 1980, the minimum wage was $3.10 per hour, and in 1997 it was $5.15 per hour. Find a linear…

Q: i. Write an example of a linear function that isincreasing and has a y-intercept of 5.

A: We have to find the linear increasing function which has y intercept at 5.

Q: A caterer offers a package that feeds up to 50 people for $1,500 and adds an additional charge of…

A: g is the number of additional guests. So at least 50 people are  there . For those 50 people he…

Q: Write a formula for a linear function f whose graph satisfies the condition slope -2/3 and y…

A: Given that the slope(m) of the linear function is -2/3 and the y-intercept is (0, 1/5) which means…

Q: A Webmaster has tracked an increasing number of registered users since the beginning of  an…

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Q: The  manufacture of graphing calculators has determined that 11,000 calculators per week wil be sold…

A: Given are two points for X & Y: X represents the price Y represents the number of calculators…

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 manufacturer of economy cars has determined that 54,000 cars per month can be sold at a price of…

A:

Q: Does the graph shown below represent y as a linear function of x?

A: Linear function are those whosegraph is a straight line.

Q: A band will be paid a flat fee for playing a concert. Additionally, the band will receive a fixed…

A: Given that,  Let Number of tickets sold = x Amount of band will be paid = y For 30 tickets:…

Q: The median price of a home in a certain county at the beginning of 1980 was $210,000. At the…

A: Let Mx=ax+b be the median price of a home in the country x years since the beginning of 1980.  From…

Q: What is the slope of the linear function given the following table?

A: Solution: The objective is to find the slope of the linear function from the given table

Q: Suppose the sales of a particular brand of appliance are modeled by the linear function…

A: In this question we are provided with the linear function and we have to find the sales in year 2022…

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

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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: 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 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: The median price of a home in a certain county at the beginning of 1980 was $210,000. At the…

A:

Q: A repair company charges a fixed amount plus an hourly rate for a service call. Suppose it charges…

A: To find the linear function that describes the price of a service call in terms of x, the number of…

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

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Q: For a basic subscription, a cable television provider charges an activation fee of $60, plus $125…

A: Given: Activation fee = $60 Charges per month = $125

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

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

A: We need to find credit after 73 minutes of calling.

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

A: To write the linear equation

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…

Q: An account executive receives a base salary plus a commission. With $23,000 in monthly sales, the…

A: Formula: The equation of line passing through two points (x1, y1) and (x2, y2) is (y - y1) = y2-y1x2…

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: 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: 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.

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

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Q: A manufacturer of economy cars has determined that 46,000 cars per month can be sold at a price of…

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

A: Let x and y represents the price per car and number of cars per month, respectively. From the given,…

Q: A manufacturer of economy cars has determined that 54,000 cars per month can be sold at a price of…

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

Q: anager of a furniture factory finds that it costs $2200 to produce 100 chairs in one day and $5400…

A: Given query is to find linear relationship, slope and the graph.

Q: An account executive receives a base salary plus a commission. With $23,000 in monthly sales, the…

A:

Q: A gaming system purchased for $2,750 is to be depreciated linearly over 4 years and has a scrap…

A:

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

A: Given:- Suppose that the weight (in pounds) of an airplane is a linear function of the amount of…

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

A:

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

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Q: After 3 months of membership at a health club, a new member had paid a total of $240. After 7…

A: Given that after 3 months total cost is $240 . After 7 months total cost is $ 400. So if we take…

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

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Q: A baseball team plays in a stadium that holds 60000 spectators. With the ticket price at $10 the…

A: Let px be the price when x tickets are sold. Now given that with the ticket price at $10 the average…

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

A: Given problem is : A manufacturer of graphing calculators has determined that 12,000 calculators…

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

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.