Mathematics, 29.05.2020 00:00 matthewlucas8499

In this project, you will gather data for the sunrise and sunset times of the city where you live for one year. You will then use a sinusoidal function to describe this natural event.

Directions
Do a web search to find the sunrise and sunset times for the last year in the city in (or near) which you live. Print out the information you find.

Starting with January 1, calculate the number of daylight hours every 30 days. (You should have 13 items of data.) Convert the time from hours and minutes to the nearest tenth of an hour. For example, if the sunrise time is 0708, write the decimal 7.1, by dividing 8 by 60.

Graph this set of data on graph paper. The horizontal axis will represent the day of the year, and the vertical axis will represent the number of daylight hours. Be sure to title your graph and label the axis.

Draw a regression curve, a curve that best represents your set of data. (This is similar to drawing a line of best fit.)

Answer the following questions about your graph in the box below. Number the responses of your answers as you enter them.
Turn in your set of data and graph to your teacher.
Answer the following questions in the essay box below:

Locate the lowest and highest points on your graph. What is the amplitude?
There are 365 days in a year. Explain this value's relationship to the graph.
What is the vertical shift of the graph?
What is the phase shift of the graph?
Write a sinusoidal function that models the number of daylight hours for the year in this city.
Using your equation, estimate the number of daylight hours in this city on the 220th day of the year. Based on your graph, does this answer seem reasonable? Explain any discrepancy that might occur between the two values.

Answers: 2

Show answers

Another question on Mathematics

Mathematics, 21.06.2019 19:00

For what value of (y) is 3^3/3^y =1/9

Answers: 1

Answer

Mathematics, 21.06.2019 21:40

The management of a supermarket wants to adopt a new promotional policy of giving a free gift to every customer who spends more than a certain amount per visit at this supermarket. the expectation of the management is that after this promotional policy is advertised, the expenditures for all customers at this supermarket will be normally distributed with a mean of $95 and a standard deviation of $20. if the management wants to give free gifts to at most 10% of the customers, what should the amount be above which a customer would receive a free gift?

Answers: 2

Answer

Mathematics, 21.06.2019 23:00

At river bank, checking account customers earn 0.75% interest a month on their account balances, pay no service fees for writing checks, and pay a monthly $2.00 financial charge. calculate the income earned in one month on the checking account for a customer with an account balance of $1,000. a. $4.25 b. $5.50 c. $6.75 d. $7.25 checking account earnings at baker’s bank are expressed by the equation: i = -0.09x + 10.2. while the earnings at elite bank are modeled by: i = -0.02x + 7.5. in both cases, x is the number of checks written. at what number of checks will elite bank start generating more checking account income than baker's bank? a. 12 b. 25 c. 39 d. 42 emilio’s checking account had a balance of 728.32 at the beginning of the week. he wrote checks for the following amounts throughout the week: $99.48, $33.50, $18.23, and $72.05. he also deposited his paycheck in the amount of $1,109.90. what is his account balance at the end of the week? a. $1,192.35 b. $1,222.86 c. $1,540.52 d. $1,614.96

Answers: 1

Answer

Mathematics, 21.06.2019 23:40

Agrid shows the positions of a subway stop and your house. the subway stop is located at (-5,2) and your house is located at (-9,9). what is the distance, to the nearest unit, between your house and the subway stop?

Answers: 1

Answer

You know the right answer?

In this project, you will gather data for the sunrise and sunset times of the city where you live fo...

Questions