04-Representations of Functions Georgetown-Coastal Carolina Partnership Workshop 2016

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Representations of Functions Solution Sets Inequalities Functions Domain & Range Functions & Modeling Function Patterns Interpolating and Extrapolating

1. Janet Shopping Janet has at most $200 to spend on new clothes. She wants to buy a new pair of jeans for $42 and spend the rest on t-shirts. Each t-shirt costs $15. How many t-shirts can she buy? How many different ways can you write solutions? {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

1. Janet Shopping Janet has at most $200 to spend on new clothes. She wants to buy a new pair of jeans for $42 and spend the rest on t-shirts. Each t-shirt costs $15. Write a general function relating the cost, c, of clothes for Janet as a function of the number of t-shirts she buys, t.

1. Janet Shopping Janet has at most $200 to spend on new clothes. She wants to buy a new pair of jeans for $42 and spend the rest on t-shirts. Each t-shirt costs $15. Solution Set Table Graph List Coordinate Points Equation (with domain/range) How does this relate to the solution from part (a)

2. Möstley Crüe Melissa works for the House of Blues booking department. She is booking Möstley Crüe (a Mötley Crüe tribute band) to play at House of Blues this summer. The initial cost of the event for set-up, lights, sound engineer, etc. is $875. The cost per ticket is $23. If house of blues wants to make at least $2,500 profit. How many tickets must they sell? How many different ways can you write solutions? {147, 148, 149, … }

2. Möstley Crüe Melissa works for the House of Blues booking department. She is booking Möstley Crüe (a Mötley Crüe tribute band) to play at House of Blues this summer. The initial cost of the event for set-up, lights, sound engineer, etc. is $875. The cost per ticket is $23. Write a general function relating the profit, p, for House of Blues as a function of the number of tickets sold, t.

2. Möstley Crüe Melissa works for the House of Blues booking department. She is booking Möstley Crüe (a Mötley Crüe tribute band) to play at House of Blues this summer. The initial cost of the event for set-up, lights, sound engineer, etc. is $875. The cost per ticket is $23. Solution Set Table Graph List Coordinate Points Equation (with domain/range) How does this relate to the solution from part (a)

3. Julie Working Julie borrowed $875 from a friend to help with some unexpected medical costs. She got a job working for the House of Blues as their marketing coordinator, making $23 per hour. How many hours does she need to work to at least get out of debt with her friend?

3. Julie Working Julie borrowed $875 from a friend to help with some unexpected medical costs. She got a job working for the House of Blues as their marketing coordinator, making $23 per hour. Write a function relating the amount of money, m, that Julie has as a function of the number hours worked, h. State the domain & range.

3. Julie Working Julie borrowed $875 from a friend to help with some unexpected medical costs. She got a job working for the House of Blues as their marketing coordinator, making $23 per hour. How does this function relate to the function in 2(c)? Justify your response.

Extra Practice Inequalities

Extra Practice Inequalities 9x-6 ≥ (3/2)x+9

Extra Practice Inequalities 4x-4>3x-5

Extra Practice Inequalities 3x-2>7 or 2(1-x)≥1

Extra Practice Inequalities 5x+2+7<2 and 25-3x+1<17

Graphing as a Tool Next Powerpoint