A manufacturer of graphing calculators has determined that 9,000 calculators per week will be sold at a price of $85 per calculator. At a price of $80, it is estimated that 13,000 calculators will be sold. Determine a linear function that predicts the number of calculators that will be sold per week at a price of x dollars. y =     Use this model to predict the number of calculators that will be sold at a price of $75. calculators=

Q: a) Express the cost as a function of the number of jeans produced, assuming that it is linear. Then…

A:

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

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 manufacturer of graphing calculators has determined that 10,500 calculators per week will be sold…

A: It is given that, 10,500 calculators per week will be sold at a price of $94 and it is estimated…

Q: A baseball team plays in a stadium that holds 46000 spectators. With the ticket price at $10 the…

A: Total spectator's in stadium=46000 When ticket price is $10, attendees are 19000 When ticket price…

Q: The Summer store is dedicated to the sale of swimwear. He finds that for a price of $ 32.00 for each…

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

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: 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 percentage of automobile consumers who are under 50 years of age decreased approximately…

A:

Q: A baseball team plays in a stadium that holds 50000 spectators. With the ticket price at $8 the…

A: Topic- Application of Derivatives

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

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 baseball team plays in a stadium that holds 64000 spectators. With the ticket price at $10 the…

A: In this question we have to find the ticket price that would maximize the revenue.

Q: On the sixth day of having the sea monkeys, when the population was approximately 68, Penny couldn't…

A:

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

A:

Q: billy-sean o'hagan notices that the demand for the college newspaper was 2,000 copies each week when…

A: Given The demand for the college newspaper was 2,000 copies each week when the paper was given free…

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: A baseball team plays in a stadium that holds 46000 spectators. With the ticket price at $11 the…

A: Here I am attaching image so that you understand each and every step.

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

A:

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: A baseball team plays in a stadium that holds 50000 spectators. With the ticket price at $10 the…

A:

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

A:

Q: From the early 1970s through 2010 in the US, the enrollment of 3-4 year olds has steadily increased.…

A: GivenIn 1970 the percentage of 3 - 4 year old's were enrolled in pre-K =20%   In 2010 the percentage…

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

A: It is given that the weight of the airplane is a linear function. Also, when airplane carries 25…

Q: The number of automobiles in a certain small town was in 1890, and in 2015 and 2420 in 2020. If we…

A: Graphically, the linear function representing the relationship between an independent variable let's…

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

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: 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: 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 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 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…

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: 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: 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: 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.