Algebra A Unit 6 Sample Work Due 10/19/23

Question

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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?
Responses

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Answer 1

Since the cost of the plain ice cream sundae is $4 and there is an additional cost of $1 per topping, we can set up the equation y = 4 + x, where y represents the total cost and x represents the number of toppings chosen.

In order to create a graph that models this equation, we can plot a few points to get an idea of what the graph might look like.

Let's choose two points:
- (0, 4): This represents the case where no toppings are chosen, so the cost is $4.
- (5, 9): This represents the case where 5 toppings are chosen, so the cost is $9.

Now, we can plot these points and draw a line through them to represent the graph.

The correct graph should start at (0, 4) and have a slope of 1 (since the cost increases by $1 for each topping). It should also continue in a straight line as the number of toppings increases up to a maximum of 10.

Based on these criteria, the correct graph would be the one that starts at (0, 4) and increases in a straight line.