Question

The 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 determine the best graph that models the cost of an ice cream sundae with toppings based on the deal described, let's break down the pricing structure:

- **Base cost for a plain sundae:** $4
- **Cost per topping:** $1
- **Maximum number of toppings:** 10

The total cost (C) for an ice cream sundae with \(x\) toppings can be expressed with the equation:

\[
C = 4 + 1 \cdot x
\]
or simply:
\[
C = 4 + x
\]

Here, \(x\) can be any integer value from 0 (no toppings) to 10 (maximum toppings).

Now let's summarize the costs based on the number of toppings:
- 0 toppings: \(C = 4 + 0 = 4\)
- 1 topping: \(C = 4 + 1 = 5\)
- 2 toppings: \(C = 4 + 2 = 6\)
- ...
- 10 toppings: \(C = 4 + 10 = 14\)

This means the relationship between the number of toppings and the total cost is linear, starting from a base cost of $4 and increasing by $1 for each additional topping.

Given this information, the graph should be a straight line that starts at the point (0, 4) and goes up to the point (10, 14), with a slope of 1.

If you have a set of graphs to choose from, look for:
1. A straight line.
2. The line starting at the point (0, 4).
3. The line ending at (10, 14).

This would be the correct graph representing the cost of the ice cream sundae based on the number of toppings chosen.