WARMUP WARMUP SOLUTIONS FUNCTION COMPOSITION YOU TRY WORD

WARM-UP •

WARM-UP SOLUTIONS •

FUNCTION COMPOSITION •

YOU TRY! •

WORD PROBLEM 1 Hannah’s Housekeeping charges a $20 flat fee plus $12 an hour to clean a house. 1) Write a function c(h) for the cost to clean a house for h hours. 2) What are the units of the domain and range of this function? Hannah’s Housekeeping can clean one room every half hour. 3) Write a function h(r) for the hours needed to clean r rooms. 4) What are the units of the domain and range of this function? 5) Write a function c(h(r)) to represent the cost of cleaning r rooms. 6) What is the value and meaning of c(h(12))?

WORD PROBLEM 2 Jim has a lawn service called Green’s Grass Guaranteed. On every mowing job, Jim charges a fixed $30 fee to cover equipment and travel expenses plus a $20 per hour labor charge. 1) Write a cost function where c(t) is Jim’s charge for t hours of work. 2) What are the unit of the domain and range in this function? It takes Jim 4 hours to mow 1 acre. Jim prepares a cost estimate for each customer based on the number of acres of their property. 3) Write the equation of a function in terms of a for the number of hours t it will take Jim to mow the property. 4) What are the units for the domain and range of this function? 5) Write a function c(t(a)) for the cost of mowing a acres. 6) What are the units for domain and range of this function? 7) What is the value of c(t(4)) and what does it mean?

WORD PROBLEM 3 The average cost of gas in Illinois right now is $2. 89. 1) Write a function c(g) for the cost to purchase g gallons. A Nissan Altima gets 27 MPG. 2) Write a function g(m) for the gallons needed for a Nissan Altima to travel m miles. 3) Write a function c(g(m)). What does it represent? What are the units of the domain and range of this function?

HOMEWORK • P. 87 – 88 #2 -12 evens #13 -17 #24 -28 evens #29 -36