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=

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.

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.

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?

Assume that this situation represents a linear function. Find and interpret the slope of the line that models the data.Three months after its grand opening, a new museum has had a total of 615 visitors. After five months, the total number of visitors to the museum is 1141. really my question is how would i assume what is x and what is y

Suppose that the number of tee shirts sold (N) depends linearly on the price charged (x). Write an equation showing this dependence.