An HVAC technician charges a flat fee of $99 and an additional $50 per hours. Express this as a linear function. What will the cost be for eight hours of work?

For $1200, a business can post an advertisement for 30 days. For $1500, the advertisement will X be posted for 60 days. The relationship comparing cost to days posted is linear. Which function can be used to model the relationship between cost, y, and the number of days, x, that an advertisement will be posted? A y= 300x + 1200 y = 1200x + 300 C y= 10x + 900 D y = 900x + 10 INTL V O 10:03

Tom is driving to Seattle. Suppose that the distance to his destination (in miles) is a linear function of his total driving time (in minutes). Tom has 54 miles to his destination after 49 minutes of driving, and he has 33.2 miles to his destination after 75 minutes of driving. How many miles will he have to his destination after 91 minutes of driving?

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.

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.

A manufacturer of electronic parts has a fixed cost of $410 and a variable cost of $17 per part monthly. The company sells each electronic part for $26 per item. Write a function that models the total profit

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?