Question
The table below shows the amount of money Sarah spends for a craft demonstration.
Number of People Attending
Cost
5
$15
8
$18
10
$20
15
$25
Sarah spends a total of $60. Based on the information in the table, how many people attended the craft demonstration?
20
30
50
70
Number of People Attending
Cost
5
$15
8
$18
10
$20
15
$25
Sarah spends a total of $60. Based on the information in the table, how many people attended the craft demonstration?
20
30
50
70
Answers
GPT-4o mini
To solve the problem, we'll first examine the information given in the table, which shows the cost for different numbers of people attending the craft demonstration.
We can note the costs for the various numbers of people attending:
- For 5 people, the cost is $15.
- For 8 people, the cost is $18.
- For 10 people, the cost is $20.
- For 15 people, the cost is $25.
From the provided costs, we can see that the cost increases as the number of people attending increases, but we need to determine a pattern or relationship to find out how many people Sarah can accommodate with her total budget of $60.
1. Let's analyze the cost per person based on the data from the table.
- Cost for 5 people = $15 → Cost per person = 15/5 = $3
- Cost for 8 people = $18 → Cost per person = 18/8 = $2.25
- Cost for 10 people = $20 → Cost per person = 20/10 = $2
- Cost for 15 people = $25 → Cost per person = 25/15 = approximately $1.67
2. We can see that as the number of attendees increases, the cost per person decreases, indicating bulk pricing.
Now, let's assume the pattern continues. We can find out how much it costs for more participants by observing the increments in the number of people attending:
From the table, it appears the costs increase incrementally, as follows:
- From 5 to 8 people: an increase of $3 (from $15 to $18)
- From 8 to 10 people: an increase of $2 (from $18 to $20)
- From 10 to 15 people: an increase of $5 (from $20 to $25)
Now to extrapolate this, we can make a reasonable assumption that for 20 or even 30 people, the increments can continue:
- If we assume increments maintain their pattern, and looking at 15 people costing $25:
- For 20 people, let’s add a similar proportional increment.
- We can create an estimation, assuming the next increments maintain the given cost structure.
By approximating further:
- 20 people might cost around $30
- 30 people might cost around $40
- 50 people might cost around $50 (which makes sense as this would make it $60 if scaling continues)
- 70 people might cost around $70 (which would exceed her budget).
However, without exact numbers in your current table to work with, a logical extension (based on patterns) suggests Sarah could accommodate 50 attendees, as going from 15 to 30 seems too steep, thus leading us to:
**Therefore, the most plausible option from the choices provided is 50 people, as it signifies \( \text{Cost} = \$60 \).**
We can note the costs for the various numbers of people attending:
- For 5 people, the cost is $15.
- For 8 people, the cost is $18.
- For 10 people, the cost is $20.
- For 15 people, the cost is $25.
From the provided costs, we can see that the cost increases as the number of people attending increases, but we need to determine a pattern or relationship to find out how many people Sarah can accommodate with her total budget of $60.
1. Let's analyze the cost per person based on the data from the table.
- Cost for 5 people = $15 → Cost per person = 15/5 = $3
- Cost for 8 people = $18 → Cost per person = 18/8 = $2.25
- Cost for 10 people = $20 → Cost per person = 20/10 = $2
- Cost for 15 people = $25 → Cost per person = 25/15 = approximately $1.67
2. We can see that as the number of attendees increases, the cost per person decreases, indicating bulk pricing.
Now, let's assume the pattern continues. We can find out how much it costs for more participants by observing the increments in the number of people attending:
From the table, it appears the costs increase incrementally, as follows:
- From 5 to 8 people: an increase of $3 (from $15 to $18)
- From 8 to 10 people: an increase of $2 (from $18 to $20)
- From 10 to 15 people: an increase of $5 (from $20 to $25)
Now to extrapolate this, we can make a reasonable assumption that for 20 or even 30 people, the increments can continue:
- If we assume increments maintain their pattern, and looking at 15 people costing $25:
- For 20 people, let’s add a similar proportional increment.
- We can create an estimation, assuming the next increments maintain the given cost structure.
By approximating further:
- 20 people might cost around $30
- 30 people might cost around $40
- 50 people might cost around $50 (which makes sense as this would make it $60 if scaling continues)
- 70 people might cost around $70 (which would exceed her budget).
However, without exact numbers in your current table to work with, a logical extension (based on patterns) suggests Sarah could accommodate 50 attendees, as going from 15 to 30 seems too steep, thus leading us to:
**Therefore, the most plausible option from the choices provided is 50 people, as it signifies \( \text{Cost} = \$60 \).**