Mathematics, 30.04.2021 02:00, krocker58
NO FAKE ANSWERS PLEASE IM BEGGING YOU 40 POINTS I already solved half of it pls help on part 4 and down.
YOUR ASSIGNMENT: Desert Temperatures
In this assignment, you may work alone, with a partner, or in a small group. Discuss the results of your work and/or any lingering questions with your teacher.
Temperature in the desert can be modeled by the function C(t), where t represents hours after midnight (0 ≤ t ≤ 24), and C is the temperature measured in degrees Celsius. Examine what happens to the graph when you transform the function to degrees Fahrenheit.
Circle the desert you picked:
Sahara Desert
Patagonian Desert
Death Valley California(I choose this one)
Exploring Degrees Celsius
1. Fill out the following chart to find the temperatures for t = 12 (noon) and t = 24 (midnight). (2 points: 1 point for each row)
t
C(t) = –0.30(t – 12)2 + 40
0
12
C(t) = -0.30 (12 - 12)² + 40
C(t) = -0.30 (0)² + 40
C(t) = 40
24
C(t) = -0.30 (24 - 12)² + 40
C(t) = -0.30 (12)² + 40
C(t) = -0.30 × 144 + 40
C(t) = - 43.2 + 40
C(t) = -3.2
2. Plot the three points from the chart onto the graph below. Use the plotted points to sketch the graph of C(t) = –0.30(t – 12)2 + 40. (3 points: 2 points for correct coordinates, 1 point for correct shape)
Convert the Function to Degrees Fahrenheit:
3. Suppose you want to represent the desert temperature in degrees Fahrenheit instead. How would you transform the function C(t) to make the new function, F(t)? (2 points: 1 point for each transformation)
Note: The conversion rule for Celsius to Fahrenheit is .
F(t)=9/5{–0.30 (t – 12)² + 40}+32
F(t) = -0.54 (t – 12)² + 72 + 32
F(t) = -0.54 (t – 12)² + 104
4. Take your values from the previous chart (in question 2) and convert them from Celsius to Fahrenheit. Follow the example below, and use the conversion rule to fill out the chart for degrees Fahrenheit when t = 12 and t = 24. (2 points: 1 point for each row)
t
0
12
24
5. Use the conversion formula to write the equation for the new function, F(t).
(4 points: 2 points for setting up the equation, 2 points for the answer)
Hint: Substitute the equation for C(t) into .
6. Plot the points from the Fahrenheit chart in question 4 onto the graph below. Use the plotted points to sketch out the graph of F(t). (3 points: 2 points for correct coordinates, 1 point for correct shape)
7. Compare the graph in question 6 (F(t)) with the graph in question 2 (C(t)). What changes were made to the graph of C(t) to transform it to F(t)? (1 point)
Answers: 3
Mathematics, 21.06.2019 17:00, ChooseHappy
One side of a rectangle is 7 feet shorter than seven times the other side. find the length of the shorter side if we also know that the perimeter of the rectangle is 306 feet.
Answers: 2
Mathematics, 21.06.2019 18:00, leysirivera23ovez6n
The price of an item has been reduced by 30%. the original price was $30. what is the price of the item now ?
Answers: 1
Mathematics, 21.06.2019 19:00, priscillaan
Solve 3x-18=2y and 5x-6y=14 by elimination or substitution . show all !
Answers: 1
NO FAKE ANSWERS PLEASE IM BEGGING YOU 40 POINTS I already solved half of it pls help on part 4 and d...
Geography, 01.09.2019 05:50
Mathematics, 01.09.2019 05:50
History, 01.09.2019 05:50
English, 01.09.2019 05:50
Biology, 01.09.2019 05:50
Geography, 01.09.2019 05:50