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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)
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1 answer

To model the cost of the ice cream sundae with toppings, let's break it down:

  • The base cost of a plain ice cream sundae is $4.
  • Each topping costs an additional $1, and you can choose up to 10 toppings.

Let's denote:

  • \( x \) = number of toppings (where \( 0 \leq x \leq 10 \))

  • The total cost \( C \) can be expressed as:

    \[ C = 4 + x \]

This means:

  • If no toppings are chosen (x = 0), the cost is $4.
  • If all 10 toppings are chosen (x = 10), the cost is \( 4 + 10 = 14 \).

The graph representing this would be a straight line starting at the point (0, 4) on the y-axis and going up to the point (10, 14) on the graph. The slope of the line represents the additional $1 for each topping.

So, the correct graph to represent the cost would:

  1. Start at (0, 4) and end at (10, 14).
  2. Be a straight line.

Please look for a graph that meets these criteria.