Sarah is organizing a charity event where she is selling raffle tickets. Each ticket costs $4. The total amount of money Sarah makes, y, depends on the number of tickets she sells, x.

Question

The equation that represents this proportional relationship is y = 4x. Select the graph that matches the equation. What is the slope of the line?

(1 point)
Responses

Answer 1

The equation \( y = 4x \) represents a linear relationship where \( y \) (the total revenue from ticket sales) is directly proportional to \( x \) (the number of tickets sold). In this equation:

• The coefficient of \( x \) (which is 4) represents the slope of the line.
• This means for every additional ticket sold, the revenue increases by $4.

Answer:

The slope of the line is 4.

To select the correct graph:

• Look for a graph where the line passes through the origin (0,0).
• The line should incline upward, and for every 1 unit increase in \( x \), \( y \) should increase by 4 units.

If you have specific graphs to choose from, select the one that fits this description.