Math Trigonometry
posted by Jane .
The flowering of many commercially grown plants in greenhouses depends on the duration of natural darkness and daylight. Shortday plants, such as chrysanthemums, need 12 or more hours of darkness before they will start to bloom. Long day plants, such as carnations, need more than 12 hours of daylight.
The number of hours of daylight, h(t), varies with the latitude and the time of the year, t, where t is the day of the year.
1. Use the data in the table below to estimate when carnations will start to bloom in Ottawa, Regina, and Whitehorse.
Month Day of the Year Hours of Daylight on the Middle Day of Each Month  Ottawa Regina Whitehorse
January 15 8.9 8.5 6.6
February 45 10.1 10.1 9.2
March 75 11.6 11.8 11.7
April 106 13.3 13.7 14.5
May 136 14.7 17.1 22.2
June 167 15.4 16.4 18.8
July 197 15.1 15.6 17.5
August 228 13.8 14.6 15.8
September 259 12.2 12.7 13.8
October 289 10.7 10.8 10.2
November 320 9.3 9.1 7.6
December 350 8.6 8.1 5.9
2.Use sinusoidal regression (in radian measure) to create an algebraic model for Ottawa, Regina, and Whitehorse. State the amplitude, period, and equation of the axis of the curve for each city.
3. Use the algebraic model for each city to calculate:
a) when the hours of daylight first exceed 12 hours.
b) the interval in the year when there are more than 12 hours of daylight.
4. Compare the blooming season for carnations in the three cities.
Thanks for your help!
Respond to this Question
Similar Questions

11th gradeCalculas
The number of hours of daylight D depends upon the latitude and the day t of the year and is given by the equation : D(t)=12+Asin(((2pi)/(365))(t80)) where A depends only on the latitude (and not t). for latitude 30 degress, A is … 
calculus
The number of hours of daylight D depends upon the latitude and the day t of the year and is given by the equation : D(t)=12+Asin(((2pi)/(365))(t80)) where A depends only on the latitude (and not t). for latitude 30 degress, A is … 
science
Which term does not describe one of the three categories into which land plants are classified? 
Bio
Which term does not describe one of the three categories into which land plants are classified? 
Trigonometry
The number of daylight hours in a day is harmonic. Suppose that in a particular location, the shortest day of the year has 7 hours of daylight and the longest day of the year has 18 hours. Then, we can model its motion with the function … 
Biology
CAM (crassulacean acid metabolism) plants such as the cacti differ from standard C4 plants such as corn in which of the following ways? 
algebra
Arianna is buying plants for her garden. She buys 15 flowering plants for $96. Pink flowering plants sell for $8, and purple flowering plants sell for $5. How many pink flowering plants did Arianna buy? 
Math
green park is adding 236 plants this spring. One hundred fifty of them will flower. The rest will not flower. Use this information to answer question. 1) 1/3 of the flowering plants will have yellow flowers and 1/4 of the flowering … 
PreCalculus
At 34 degrees north latitude, the longest day of the year has 14.273 hours of daylight, and the shortest day 9.726 hours. If the equinox falls on march 21(day 80), model the hours of the daylight by day? 
English
Read the sentences. The Arctic region, where winters are long and cold, is home to more than 400 species of flowering plants. Which group of words is an adjective clause in the sentence?