5. According to the U.S. Library of Congress (https://www.loc.gov/rr/scitech/mysteries/cricket.html), you can estimate the temperature by listening to the chirping of a cricket. At 70 °F a cricket will chirp 113 times per minute, and at 80 °F a cricket will chirp 173 times per minute. (a) Write a linear function for T(c), the temperature when a cricket makes c chirps per minute. (b) What is the temperature if a cricket chirps 100 time per minute? (c) How many times a minute will a cricket chirp if it is 52 °F? (d) In part 5a you found the slope of the linear function describing the relationship between the number of times a cricket chirps per minute and the temperature. What does this slope repre- sent? (e) In part 5a you found the vertical intercept of the linear function describing the relationship between the number of times a cricket chirps per minute and the temperature. What does this vertical intercept represent?

Imagine that you are studying how the number of rabbits and chipmunks evolved between 1950 and 2000 in New York, You have collected historical data and have summarized it in the following graph: a) Find an expression for each species that helps you calculate the number of animals of each species between 1950 and 2000 as a function of the year. Use R as a symbol for rabbits, C as the symbol for chipmunks, and Y as the symbol for years. You will be finding two seperate equations.  b) For which year was the population of rabbits approximately four times the population of the chipmunks? c) There is data that supports the hypothesis that linear trends observed between 1950 and 2000 will continue in the future. By which year will both populations be approximately the same?

12. Functions that describe predator-prey relationships have periods.

a docs.google.com/document/d/18CYm6Fch5-CMkIOD89pTq109-X5BHhDbbayfyZkFEA/edit 3 I | I 4 Problem 2 Part 1 Explain the differences between a relation that is not a function, a function that is not one-to-one, and a function that is one-to-one. acer Ce %23 % & 2 3. 4. 5 6. 7 8. 9. le r y u f g k V.

What are your ideas of these graphs along with matching these descriptions

A nationa! census is mandated by the Constitution of Pakistan to be held every ten years. After the independence of Pakistan in 1947, the first census took place in 1951. Figure 1 reflects the increase in population of Pakistan during last four nationa! census. The increase between 1972 and 2017 could be approximated by a linear function. If in 1972 the popuiation was 65.309 million and as per the census data of 2017 the popuiation was 207.774 million; a) Determine the estimation function P = f (t), where P equais the popuiation of Pakistan and t equals time measured in years since 1972. b) Interpret the slope and P intercept c) According to this function, what wii be the estimated popuiation of Pakistan in 2027 census? Census Data 250000000 200000000 150000000 100000000 50000000 1972 1981 1998 2017 Census Year Census Data Population (approx)

3. An airline company offers a promo of Php 100.00 promo fare from Manila to anywhere in the Philippines. The additional fees cost Php 250.00. Task 1: Write a function that will show how much a passenger will pay given the distance (in km) from manila to his destination. (Include the representation of variables) Task 2: Using Desmos, show the graph of the function. Task 3: How much will you pay if the distance from Manila to your destination is 591.35km? (Show/Explain your solution)

The linearization of a function works best when it is used to approximate a function, meaning behaviour and value, close to the point of tangency.  A. True B. False

2. Suppose someone says that the price of a share of Google stock is a function of time. Translate this into our careful way of defining functions.

(4) The value of a house can rise and fall with the real-estate market. The value of your house over the course of a decade can be modeled by the graph below, where x is the year and yis the difference between the value in that year and the original purchase price, in hundreds of dollars. Difference in price ($) 60 A) In which years did the house have the same value as it did when it was purchased? 40 20 B) What year was your house worth the most? 10 C) Write a possible polynomial function for this graph. 20 Year ...... Formulas to use: A- Iw and V-wh