Question

The Augsburg math club paid $200 for fancy souvenir water bottles that they are going to sell next year for $6 each at the Taste of Augsburg during Homecoming Weekend.

Define two variables that relate quantities in this story. Which one is the input of this function and which one is the output?

Write an equation for your function, and briefly explain why your function is valid.

Answer 1

The Augsburg math club paid $200 for souvenir water bottles that will be sold for $6 each. The function related to this scenario is y = 6x, where x represents the number of bottles sold and y represents the total revenue generated. The function is valid because it connects the quantity of bottles sold to the revenue generated.

Step-by-step explanation:

In this problem, we are given that the Augsburg math club paid $200 for fancy souvenir water bottles that they are going to sell next year for $6 each at the Taste of Augsburg during Homecoming Weekend. To define two variables that relate quantities in this story, let's use:

• x as the number of water bottles sold
• y as the total revenue from selling x water bottles

In this case, the input of the function is the number of water bottles sold (x), and the output is the total revenue from selling x water bottles (y). The equation for this function is y = 6x, where 6 represents the price of each water bottle. This function is valid because it relates the quantity of water bottles sold to the corresponding revenue generated.