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This page shows questions in the Alg II Making Inferences and Justifying Conclusions public release module at MSDE. Algebra 2
"Alg II Making Inferences and Justifying Conclusions"

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This is a question with 3 parts, including a multiple choice question that allows you to select only one option, and, a question with drop-down menus from which you must select an option to fill in the blank.

The graph shows the median percent cloud cover per month for 12 months for the city of Tampa, Florida.

10 20 30 40 50 60 70 0 Jan. Feb. Mar. Apr. May June July Aug. Sept. Oct. Nov. Dec. Month Percent Cloud Cover Median Percent Cloud Cover by Month for Tampa Image Scatter plot titled median percent cloud cover by month for Tampa. The x axis is labeled month and ranges from January to December. The y axis is labeled percent cloud cover. Points are plotted at January, 60, February, 58, March, 50, April, 44, May, 48, June, 60, July, 68, August, 62, September, 59, October 49, November, 50, and December, 59.

Because the cloud cover tends to be cyclical in nature, a sine function was used to model the relationship between median percent cloud cover and month. With the number 1 representing the month of January, the model c equals 55 plus 9 sine open parenthesis zero point nine eight m plus zero point 7 4 close parenthesis predicts the median percent cloud cover for month number m.

Part A

Which constant in the model gives the best representation of the average of the median percent cloud cover for the year?

Part B

The median percent cloud cover for the month of September was 58%. How does the model predict the amount of cloud cover for September?

Select from the drop-down menus to correctly complete the sentence.

The model    the actual amount by    percent cloud cover.