haleyelizabeth2017
  • haleyelizabeth2017
In Buenos Aires, Argentina, the average monthly temperature is highest in January and lowest in July, ranging from 83 degrees Fahrenheit to 57 degrees Fahrenheit. Write a cosine function that models the change in temperature according to the month of the year. -How can you find the amplitude? -What part of the problem describes the length of the cycles?
Mathematics
chestercat
  • chestercat
See more answers at brainly.com
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this
and thousands of other questions

haleyelizabeth2017
  • haleyelizabeth2017
I got the amplitude....it's 13, but I'm not sure about the rest. Is it 70+13 cos ____ because 70 is where the middle of the graph is....
jim_thompson5910
  • jim_thompson5910
13 is definitely the amplitude and y = 70 is the midline
jim_thompson5910
  • jim_thompson5910
what is the period or length of each cycle?

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

haleyelizabeth2017
  • haleyelizabeth2017
erm...not sure in this case....uno momento
haleyelizabeth2017
  • haleyelizabeth2017
\(\pi/6\) because there are 6 months in between January and July, which are the min and max values.
jim_thompson5910
  • jim_thompson5910
well the period is actually 12 months since things repeat themselves each season (more or less) so B = 2pi/T B = 2pi/12 B = pi/6 so you have the pi/6 correct but pi/6 isn't the period. It's the coefficient for the t value
haleyelizabeth2017
  • haleyelizabeth2017
Oh!
jim_thompson5910
  • jim_thompson5910
So the function is \[\Large y = 70+13\cos\left(\frac{\pi}{6}t\right)\] y = average temperature at month t
haleyelizabeth2017
  • haleyelizabeth2017
Ah...I think we missed something...in the back of the book, it says that \(\frac{\pi}{6}\) is the coefficient for (x-1), where x is the month of the year. I have to explain everything I do and it's my last question...any idea how they got that?
jim_thompson5910
  • jim_thompson5910
the (x-1), instead of just x, is to allow x to start at 1 instead of 0 notice how x-1 = 0 when x = 1
jim_thompson5910
  • jim_thompson5910
\[\Large y = 70+13\cos\left(\frac{\pi}{6}x\right) ... \text{ x starts at x = 0}\] \[\Large y = 70+13\cos\left(\frac{\pi}{6}(x-1)\right) ... \text{ x starts at x = 1}\] x = month number y = avg temp
haleyelizabeth2017
  • haleyelizabeth2017
Oh! Duh! *face palm*
haleyelizabeth2017
  • haleyelizabeth2017
Again, thank you very much. You're a lot of help lol
jim_thompson5910
  • jim_thompson5910
you're welcome

Looking for something else?

Not the answer you are looking for? Search for more explanations.