Check it out!

1. Check it out! 2.3.2: Operating on Functions

2. The student council is selling lanyards with the school’s name on them. Each lanyard costs $1.50 to purchase from the manufacturer. The student council is selling each lanyard for $5.00. Write a function f(x) that models the cost of buying the lanyards before reselling them. Write a function g(x) that models the income of selling the lanyards. What is the profit from selling one lanyard? Write a function h(x) that models the profit of the sale of the lanyards in terms of f(x) and g(x), and then simplify the function. 2.3.2: Operating on Functions

3. Write a function f(x) that models the cost of buying the lanyards before reselling them. Each lanyard costs $1.50 to purchase from the manufacturer. Let x stand for the number of lanyards purchased. f(x) = 1.5x 2.3.2: Operating on Functions

4. Write a function g(x) that models the income of selling the lanyards. Each lanyard is sold for $5.00. Let x stand for the number of lanyards sold. g(x) = 5x 2.3.2: Operating on Functions

5. What is the profit from selling one lanyard? To find the profit, subtract the amount paid to the lanyard manufacturer (1.50) from the price charged by the student council (5.00). 5.00 – 1.50 = 3.50 The student council makes $3.50 in profit for selling one lanyard. 2.3.2: Operating on Functions

6. Write a function h(x) that models the profit of the sale of the lanyards in terms of f(x) and g(x), and then simplify the function. Since the cost to purchase a lanyard must be subtracted from the price for which each lanyard is sold, subtract f(x) from g(x) to find h(x). The simplified function is h(x) = 3.5x. 2.3.2: Operating on Functions