To model the cost of a sundae at the local ice cream shop on Wednesday, we need to consider that the base price for a plain sundae is $4, and you can add up to 10 toppings with each topping costing $1.
The total cost can be calculated using the formula: \[ C = 4 + x \] where \( C \) is the total cost and \( x \) is the number of toppings chosen (which can range from 0 to 10).
Characteristics of the graph:
- Y-Intercept: The cost of a sundae with no toppings (0 toppings) is $4. Therefore, the graph starts at the point (0, 4).
- Slope: For every additional topping added, the cost increases by $1. This means the slope of the line is 1.
- Maximum Point: If someone adds the maximum of 10 toppings, the total cost is \( 4 + 10 = 14 \). Therefore, the coordinates for this point would be (10, 14).
- Linear Relationship: The relationship between the number of toppings and the total cost is linear.
Given this information, the best graph to represent the cost should start at the point (0, 4), have a straight line with a slope of 1, and end at the point (10, 14).
If you have multiple graph options, look for a line that meets these criteria for the best representation of the cost deal on Wednesdays at the ice cream shop.