Question

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Grade 8 Mathematics Formula Sheet

Match the question with the correct answer for the scenario:

The equation y = 45x + 200 is a linear model of the total charge, y for a party at a restaurant with x people in attendance.

(3 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
200 means ______?
y values represent _______?
45 means _______?
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Answer 1

To match the question with the correct answer for the scenario given the equation \( y = 45x + 200 \), we can interpret the components of the equation as follows:

1. **200 means**: This represents the fixed cost (or base charge) for having the party, regardless of the number of attendees. It can be thought of as the initial charge for the party.

2. **y values represent**: This represents the total charge for the party, which depends on the number of attendees (x). So, it is the total cost calculated for a given number of attendees.

3. **45 means**: This represents the additional cost per person for each individual attending the party. In other words, for each person \( x \), the total charge increases by $45.

So, your answers should be structured as follows:

- **200 means**: the fixed cost for the party.
- **y values represent**: the total charge for the party.
- **45 means**: the charge per person attending the party.

Ensure you input the responses accordingly based on the quiz format provided.