a) sketch the graph of y = -a + 8 – 12 and state the turning point and intercepts. b. given the supply and demand functions P = Q; + 14Q, + 22 and P= -Qå + 10Q4 + 150 Calculate the equilibrium price and quantity.

2. **Carolina is mowing lawns for a summer job in order to save for a new bike. Carolina charges both a service fee and an hourly rate for her lawn mowing service. Her total fee for a 4-hour job, for instance, is $32 and her fee for a 7 hour job is $50. a. Write an equation in point slope form that could model the relationship between the cost of Carolina's fee y, given the number of hours she works x. b. Write an equation in slope intercept form that could model this relationship. C. Carolina believes that the domain of hours she works could be described by whole numbers, do you agree or disagree?

A small business purchases a piece of equipment for $465. After 3 years the equipment will be outdated, having no value. (a) Write a linear equation giving the value y of the equipment in terms of the time x, 0 S x < 3. y = (b) Find the value of the equipment when x = 2. %$4 (c) Estimate (to two-decimal-place accuracy) the time when the value of the equipment is $200. yr