24. Determine a. the slope, b. y-intercept, and c. equation of each line shown: a. e.-4-1 d = 3t + 2 V = -3t + 2 b. e. a = -2t d = -2t + 4 C. f. V = 3t - 2 d = 1/2t + 2 Graphing Data 27. The data below shows a group of people plotted by their height and age. Below each person identify their dot on the graph.o 3. AGE 4. 5. 6 o 7 o HEIGHT 28.Consider the graph showing the population of Newtown to answer the questions. Population of Newton: 1900 - 2000 Population 1925 1950 1975 2000 Year a. What year did the data on Newtown begin? b. What was the population when the data collection began? c. What was the population when the data collection stopped? d. When was the maximum population in Newton? e. What are the units of slope in this graph? f. What range of years has the greatest rate of increase in population in the above graph? Calculate the rate of increase (showing all work and units): . What range of years has the slowest rate of increase in population in the above graph? Calculate the rate of increase (showing all work and units): . What range of years has a decrease in population in the above graph? Calculate the rate of decrease (showing all work and units): 29.Consider the graph showing the height of plants over time, based on sunshine per day. Height :mm} Key: . 1 Hour of Sunlight + 3 Hours of Sunlight + 6 Hours of Sunlight 9 Hours of Sunlight Dav plan! measueo What does the y-intercept represent? What are the units of slope in this graph? Over the rst 6 days, which plant: i. Grew fast, but then growth slowed? ii. The growth rate increased? iii. The growth rate stayed about the same If someone told you that they chased away a cat that was digging in one of the plants on one of the days, guess which day and which plants. How do you know? If you heard that there was a particularly cold day: f. g. i. Which day would you guess? Why? ii. One plant was nearest to the warm house. Which one? Why? iii. One plant was more impacted than the others by the cold. Which one? Why? What time range (between days) has the fastest growth for a given plant? Identify the plant, and the day, then calculate the rate of growth (showing all work and units): What time range (between hours) has the most dramatic drop in height in the above graph? Calculate the rate of decrease (showing all work and units): 30.8uppose that the water level of a river is 34 meters and receding at a rate of 0.50 meters per day. a. b. Write an equation for the water level, L, after d days. What does the slope in this relationship represent? Determine the number of days it would take to reach 26 meters (show all work): . Sketch a graph of this situation for 10 days (include titles and units for everything) 31 .A plumber charges $25 for a service call plus $50 per hour.. a. Write an equation in slope-intercept form for the cost, C, after h hours of service. What does the slope in this relationship represent? Determine the number of hours it would take to reach a cost of $500 (show all work): . Sketch a graph of this situation for 10 hours (include titles and units for everything) 32. For each experiment below, consider independent vs. dependent variables, then specify appropriate titles (including units for axis titles). a. A student wanted to test how the mass of a paper airplane affected the distance it would y. Paper clips were added before each test flight. As each paper clip was added, the plane was tested to determine how far it would fly in meters. i. Graph Title: ii. X-axis Title: iii. Yaxis Title: b. A scientist studying new winter tires wants to determine their stopping ability. She has an assistant drive a carat various speeds 20 kmr'hr, 30 kmihr, 40 km!hr....etc. and measures their stopping distance in meters. i. Graph Title: ii. X-axis Title: iii. Yaxis Title: 33.Draw a good "best-fit line\" through each data set (representing the data). If there is a situation where a best-t line doesn't represent the data well, just write \"no trend.\" 0 Amount of 0. Number dog food . of purchased . tourists O 0 flying to Hawaii \"umber of Amount people of going clothing swimming sold Number of customers at clothing store Temperature 34. Use the data below to determine whether it's true that \"the older you are, the more money you earn" using plotted data (draw a graph - use graphing program or pencil and graphing paper). Age Earnings ($) Earnings ($ ge Earnings ($) 25 22000 32000 62 42500 30 26500 35000 43000 35 29500 36000 70 37000 37 29000 41000 75 37500 38 30000 41000 Ensure both axes include: :- a breaker to show that they don't start at zero, a scales that increase in equal increments, and :- appropriate titles and units. a. What's the general trend shown by your best-fit line? b. Does it generally support the hypothesis? c. About how much more does a person earn per year (in general)? Show all work. d. Is there an area of the graph that doesn't follow this trend? Can you explain why