Question

he local ice cream shop offers a deal on Wednesday where you can pay $4 for a plain ice cream sundae and $1 per topping you choose (maximum of 10 toppings). Which of the following graphs best models the cost someone could pay using this offer? (1 point) Responses

Answer 1

To model the cost of an ice cream sundae at the local ice cream shop based on the given pricing structure, we can establish a mathematical function.

The cost of the sundae can be formulated as:

\[ \text{Cost} = 4 + x \]

where \( x \) represents the number of toppings chosen (with a maximum of 10 toppings).

This means:
- If no toppings are chosen (\( x = 0 \)), the cost is \( 4 + 0 = 4 \).
- If one topping is chosen (\( x = 1 \)), the cost is \( 4 + 1 = 5 \).
- If two toppings are chosen (\( x = 2 \)), the cost is \( 4 + 2 = 6 \).
- Continuing this pattern, if the maximum of 10 toppings is chosen (\( x = 10 \)), the cost is \( 4 + 10 = 14 \).

The scenario can be represented on a graph:
- The x-axis would represent the number of toppings (0 to 10).
- The y-axis would represent the total cost (in dollars).

The relationship is linear, starting at \( (0, 4) \) and moving up to \( (10, 14) \). The graph would be a straight line with a slope of 1 (since each topping costs an additional $1).

Given this information, the best graph that represents this situation would be a linear graph that starts at point \( (0, 4) \) and rises to point \( (10, 14) \). If you provide the graphs to choose from, I can help identify which one matches this description.