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:
- A straight line.
- The line starting at the point (0, 4).
- 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.