Mathematics, 30.04.2021 05:50 ny01282005
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.
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)
C(t) = -0.30 (t – 12)² + 40
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)
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)=9/5C(t)+32
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)
F(t)=9/5C(t)+32
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 F(t)=9/5C(t)+32
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: 2
Mathematics, 21.06.2019 14:00
Alex drew a circle with right triangle prq inscribed in it, as shown below: the figure shows a circle with points p, q, and r on it forming an inscribed triangle. side pq is a chord through the center and angle r is a right angle. arc qr measures 80 degrees.
Answers: 2
Mathematics, 21.06.2019 17:00
Ajar of gumballs contains 4 reds, 2 greens, and 6 blues. what is the probability of getting two blues in a row without replacement?
Answers: 1
Mathematics, 22.06.2019 00:30
Long division setup showing an incomplete calculation. 12 is in the divisor, 6839 is in the dividend, and 5 hundreds and 6 tens is written in the quotient. 6000 is subtracted from 6839 to give 839. an unknown value represented by a box is being subtracted from 839. what number should be placed in the box to complete the division calculation?
Answers: 3
Mathematics, 22.06.2019 01:30
Study results indicate that the mean length of time people spend on a bus in a city is between 21.2 min and 24.5 min what is the study margin of the error?
Answers: 1
YOUR ASSIGNMENT: Desert Temperatures
In this assignment, you may work alone, with a partner, or in...
World Languages, 06.12.2020 04:50
Mathematics, 06.12.2020 04:50
Mathematics, 06.12.2020 04:50
Social Studies, 06.12.2020 04:50
Biology, 06.12.2020 04:50
Physics, 06.12.2020 04:50
Mathematics, 06.12.2020 04:50
Biology, 06.12.2020 04:50
Chemistry, 06.12.2020 04:50
English, 06.12.2020 04:50