Discount Stereo's most popular model has been found to have a monthly demand of 185 when the price is $1,243.00. However, when the price drops to $1,213.00 the demand increases to 335. Assuming that the demand function is linear, write the equation for the demand function. Use q for quantity. P=

Discount Stereo's most popular model has been found to have a monthly demand of 185 when the price is $1,243.00. However, when the price drops to $1,213.00 the demand increases to 335. Assuming that the demand function is linear, write the equation for the demand function. Use q for quantity. P=

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Q: The price of 1 gallon of unleaded gasoline at the pump dropped to $2.19 on January 1, 2015, and…

A: As the price of 1 gallon of unleaded gasoline is decreasing 4 cents per month starting from…

Q: you start with $150 in your account and withdraw $5 a week. Model this situation with a linear…

A: We have to model the given situation with a linear function.

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

A: We have to find a linear model of the number of steps S per mile as a function of height h.

Q: o store buys 20 dvd’s at a price of $25 and 15 dvd’s if the price is $30. Determine the demand…

Q: Write a linear model for the amount of usable fabric sheeting, F, manufactured in t minutes given…

A: In 1 minute a loom manufactures 7.75 square feet fabric sheeting.In t minutes 7.75t square feet…

Q: The following situation can be modeled by a linear function. Write an equation for the linear…

A: The objective of this question is to find the cost of a new car in 3.3 years given that the price of…

Q: Suppose consumers will demand 65 units of a product when the price is $16.80 per unit and 35 units…

Q: State the type of relationship and justify. Assume the SECOND variable is the INDEPENDENT variable.…

A: Type of relationship: If both variables are in same direction (increases or decreases together), it…

Q: You purchase a luxury platinum iphone case for your sweetheart for $3,587 for a company in Dubai and…

A: Total Amount is $3587.Monthly installment is $211.Let the total number of moth required be m.Then…

Q: The following situation can be modeled by a linear function. Write an equation for the linear…

A: Let car is leased for x months, and total cost of leasing is C(x), According to question, $1000 is…

Q: In 2007, the sales at Bev’s Books averaged $4,800 each month. Since they changed location in 2008,…

A: In an experiment, there are two main variables: Input variable - It is the variable that is used…

Q: Suppose the supply per week for a product is 1254 units if the price per unit is $46 and 1518 units…

A: number of units/week supplied = 1254 price per unit $46 price per unit of 1518 units = 79$

Q: Millage rate is the amount per $1000 that is often used to calculate property tax. For example, a…

A: (a) The fixed tax is $ 172 and the variable tax is 0.019x.

Question

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

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?
The price of a new item is $800. After 4 years, the price increased to $1200. Assume the price increases linearly. Let Prepresents the price function at any time x years. (a) Find a linear function P- ax + b. 26 (b) Use the linear function P to find the price after 10 years.
Your starting salary is $40000 and it increased by $10675 over the next seven years. Let t be years and s your salary, and your salary is a linear function of time. Find a formula for your salary in time years.
You sell candy at an event to make money. When candy are sold for $1.10 per bag, approximately 625 bags are sold at each event. You tried to raise the price to $1.35 and found that the quantity demanded dropped to 525 bags. The startup cost was $500 and the cost to you per bag of peanuts is $0.50. Assume that the demand function is linear and write a function that models the profit from selling x bags of peanuts at an event. What number of bags and what price per bag will get you a maximum profit?
A car initially sold for $23,999. Its class life is 12 years, and the car depreciates by $750 each year. Express this as a linear function. Find the salvage value. Then, find the value after six years.
The owner of a local hair salon is planning to raise the price for a haircut and blow dry. The current rate is $30 for this service, with the salon averaging 550 clients a month. A survey indicates that the salon will lose 5 clients for every incremenetal price increase of $2.50. a. Write an equation to model the salon’s monthly revenue, R, in dollars, as a function of x, where x represents the number of $2.50 increases in price. b. Use the product rule to determine R’(x). c. Solve for R’(x) = 0.
skip if you already did this thank you
The monthly payment p on a mortgage varies directly with the amount borrowed b. Suppose that you decide to borrow $190,000 using a 30-year mortgage at 4% interest. You are told that your monthly payment is $907.09. Write a linear function that relates the monthly payment p to the amount borrowed b for a mortgage with the same terms.
This is only one question. I had to make it into two images.
The value of your investment real estate, which is valued today at $231,000 , is projectedto appreciate to $270,000 in six years. Find the linear equation expressing the $ value V(t)of that real estate as a linear function of time t in years
The following table shows retail sales in drug stores in billions of dollars in the U.S. for years since 1995. 220- 210 200 190 180 170 160 150 Year 0 130- 120- 110- 100- 90 801 6 12 15 Let S(t) be the retails sales in billions of dollars in t years since 1995. A linear model for the data is F(t) = 9.44t + 84.182. Retail Sales 85.851 108.426 141.781 169.256 202.297 222.266 3 6 9 12 15 Use the above scatter plot to decide whether the linear model fits the data well. The function is a good model for the data. The function is not a good model for the data Estimate the retails sales in the U. S. in 2015. billions of dollars.
Assume a cars depreciation value can be modeled by a linear function where y represents the cars value after t years. If the car was worth $1200 after 2 years and worth $300 after 5 years: a. How much did the car depreciate each year? b. How much was the car worth when it first debuted? c. Write an equation that models the cars value as a function of time d. When will the car have no value?