Concessionaires. A baseball club pays a vendor 125 per...

Concessionaires. $\quad$ A baseball club pays a vendor $\$ 125$ per game for selling bags of peanuts for $\$ 4.75$ each. a. Write a linear function that describes the profit the vendor makes for the baseball club during a game if she sells $b$ bags of peanuts. b. Find the profit the baseball club will make if the vendor sells 110 bags of peanuts during a game.

Concessionaires. $\quad$ A baseball club pays a vendor $\$ 125$ per game for selling bags of peanuts for $\$ 4.75$ each.
a. Write a linear function that describes the profit the vendor makes for the baseball club during a game if she sells $b$ bags of peanuts.
b. Find the profit the baseball club will make if the vendor sells 110 bags of peanuts during a game.

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Linear Functions

A linear function is an equation that represents a direct, proportional relationship between two variables, typically written in the form y = mx + b. In the context of business, such functions are used to model scenarios where there is a constant rate of change, such as the relationship between the number of items sold and the total profit, incorporating both variable gains per item and fixed costs.

Fixed and Variable Costs

This concept involves breaking down total cost or profit into two components: a fixed part that remains constant regardless of the number of units (such as a flat fee or fixed expense) and a variable part that changes proportionally with the number of units sold. In profit calculations, the profit function typically subtracts fixed costs from the product of the per-unit price and the number of units sold.

Function Evaluation

Function evaluation refers to the process of substituting a specific value for the variable in a function to determine the corresponding output. In applied contexts like profit analysis, this means inserting a given quantity sold into the profit function to calculate the total profit for that scenario.

Transcript

Please give Ace some feedback