The price of milk has been increasing over the last month. Audrey believes there is a positive correlation between the number of predicted storms and the price of milk.
Number of Storms Predicted Milk Price
Milk Price
1, $2.70
3, $2.89
4, $3.50
6, $3.88
7, $3.91
Use the table to determine the average rate of change from 3 to 6 storms.
3
0.98
1.21
0.33
To determine the average rate of change from 3 to 6 storms, we need to calculate the change in milk price divided by the change in the number of storms.
The milk price at 3 storms is $2.89, and the milk price at 6 storms is $3.88. The change in milk price is $3.88 - $2.89 = $0.99.
The number of storms at 3 storms is 3, and the number of storms at 6 storms is 6. The change in the number of storms is 6 - 3 = 3.
Therefore, the average rate of change from 3 to 6 storms is $0.99 / 3 = $0.33.
what is the average rate of change from $2.89 to $3.88
To find the average rate of change from $2.89 to $3.88, we need to calculate the change in milk price divided by the change in storms.
The milk price at $2.89 is 3 storms, and the milk price at $3.88 is 6 storms. The change in milk price is $3.88 - $2.89 = $0.99.
The number of storms at $2.89 is 3, and the number of storms at $3.88 is 6. The change in the number of storms is 6 - 3 = 3.
Therefore, the average rate of change from $2.89 to $3.88 is $0.99 / 3 = $0.33.
Question 9(Multiple Choice Worth 1 points)
(04.07 MC)
Based on the time recorded for 500 attendees at an amusement park, the average amount of time spent at the park was 6.75 hours with a margin of error of ±1.45 hours. If 2,000 people attended the park on a given day, what is the estimated range of total hours the attendees spent in the park?
2,725 to 5,375 total hours spent in the park
3,842 to 4,893 total hours spent in the park
10,600 to 16,400 total hours spent in the park
13,600 to 19,400 total hours spent in the park
Question 10(Multiple Choice Worth 1 points)
(04.07 LC)
Jonathan put ice cream in the freezer, and the ice cream remained frozen.
Which of the following best describes this situation?
Based on the data, this is an example of correlation and causation.
Based on the data, this is an example of correlation.
Based on the data, this is an example of causation.
Based on the data, this is not an example of causation or correlation.
answer each question seperately
For Question 9, we need to consider the margin of error and calculate the estimated range.
The average amount of time spent at the park is 6.75 hours with a margin of error of ±1.45 hours. This means the actual average time spent at the park could be as low as 6.75 - 1.45 = 5.3 hours or as high as 6.75 + 1.45 = 8.2 hours.
If 2,000 people attended the park, we can estimate the range of total hours spent in the park by multiplying the estimated average time by the number of attendees:
Range = (estimated average time - margin of error) * number of attendees to (estimated average time + margin of error) * number of attendees
Range = (5.3 hours) * 2000 to (8.2 hours) * 2000
Calculating this range, we get:
Range = 10,600 to 16,400 total hours spent in the park
Therefore, the estimated range of total hours the attendees spent in the park is 10,600 to 16,400 total hours spent in the park.
For Question 10, the situation described does not provide enough information to determine causation or correlation. It simply states that the ice cream remained frozen in the freezer, but it does not provide any other information or data to infer a relationship. Therefore, the correct answer is: Based on the data, this is not an example of causation or correlation.
To determine the average rate of change from 3 to 6 storms, we need to find the change in milk price and divide it by the change in the number of predicted storms.
Given:
Number of Storms Predicted: 3 storms, 6 storms
Milk Price: $2.89, $3.88
Change in Milk Price = Final Milk Price - Initial Milk Price
= $3.88 - $2.89
= $0.99
Change in Number of Storms = Final Number of Storms - Initial Number of Storms
= 6 - 3
= 3
Average Rate of Change = Change in Milk Price / Change in Number of Storms
= $0.99 / 3
= $0.33 per storm
Therefore, the average rate of change from 3 to 6 storms is $0.33 per storm.
To determine the average rate of change from 3 to 6 storms, we need to calculate the change in the milk price divided by the change in the number of predicted storms.
The milk price at 3 storms is $2.89 and at 6 storms is $3.88. The change in the milk price is $3.88 - $2.89 = $0.99
The change in the number of predicted storms is 6 - 3 = 3
Therefore, the average rate of change from 3 to 6 storms is $0.99 / 3 = $0.33.
The average rate of change represents the average amount the milk price increases with each additional predicted storm. In this case, for every additional storm that is predicted, the milk price increases by an average of $0.33.