
Elijah has already sold $ 
50
50 worth of tickets for a local raffle. He has 3 tickets left to sell at $ 
10
10 per ticket.Write a function using function notation to describe each situation. Use 
�
x as your independent variable. 



To model this situation, let $ x $ represent the number of additional tickets Elijah sells. Each ticket costs \$10, and he has 3 tickets left to sell. Elijah has already sold \$50 worth of tickets.

The total value of tickets sold, $ T(x) $, can be expressed as the sum of the \$50 already earned and the revenue from selling $ x $ additional tickets at \$10 per ticket.

Thus, the function notation for the total amount Elijah will have sold after selling $ x $ tickets is:

\[
T(x) = 50 + 10x
\]

Where:
- $ x $ is the number of tickets sold (with $ 0 \leq x \leq 3 $).
- $ T(x) $ is the total amount of money collected.

### Explanation:
- The \$50 is a constant, representing the amount already earned.
- $ 10x $ represents the money earned from selling $ x $ more tickets at \$10 per ticket.

Would you like to go into more details, or have any questions about this?

### Related Questions:
1. What would $ T(3) $ be in this scenario?
2. How much money does Elijah make if he sells 2 more tickets?
3. If Elijah sells all his tickets, what will be the total amount of money raised?
4. How many tickets would Elijah need to sell to have raised a total of \$80?
5. How would the function change if the ticket price increased to \$12 per ticket?

### Tip:
Always double-check the conditions or limits in your function to ensure they make sense in real-world contexts!

Elijah has already sold $50 worth of tickets for a local raffle. He has 3 tickets left to sell at $10 per ticket. Write a function using function notation to describe each situation. Use x as your independent variable.

Explore how to model Elijah's ticket sales using a linear function, T(x) = 50 + 10x. This problem covers key algebraic concepts, focusing on how to use function notation and calculate total sales. Ideal for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation