Question

For each of the exercises below, a) Identify at least two ordered pairs form the graph. Build a table that contains these ordered pairs. b) Calculate the slope of the line. c) Write the units of the slope. d) Write a sentence to interpret the slope in the context of the problem. Be sure to include the units of the slope in your interpretation. #1. The graph below shows the population of a town over a period of years. Let x = 0 represent the year 1980. Let y represent the town's population x years after 1980. (So, x = 0 represents 1980, X=1 represents 1981, x = 2 represents 1982, and so on.) 24000Y 22000+ 20000 18000+ 16000+ 14000+ 12000+ 10000+ + 3000+ + 6000+ 4000+ 2000+ 10121416163022 #2. The graph to the right shows the height of a hot air balloon as it descends. Let y represent the height of the balloon above the ground in meters, and let x represent the number of minutes that have passed during the descent.

Answer 1

Ans 1.

(a) ordered pairs = (0,20000) and (20,19000)

(b) slope = -50

(c) unit of slope = people / year

(d) Population of the town is decreasing at the rate of 50 people per year

Ans 2.

(a) ordered pairs = ( 0,200) and (60, 0)

(b) slope = -3.34

(c) unit of slope = meters / minute

(d) The height of the balloon is decreasing at the rate of 3.34 meters per minute.

Detailed answer is given in the pictures below-

Yanis x weis (number of people) - - Population years Now, (a) The ordered bairs can be identified as- Slope of line- Slope = I - J X2-1, Here, the points are - (li, J;) - Co, 20000) (22, Jz) - (20, 19000) L 9000 - 20000 20 - 0 -1000 20 = -1000 Slope = -50 - (C) Unit of slope- Unit of Slope - Unit of yaxis Unit of x-axis Mor, y ahis represents & number of people 4 xсx! s 5*peos num (bex 4. Яеоч Thorbore, Unit of slope - People 1 year

of the the slope of the glaph repeesents that town is decreasing at the rate of the population So people year. yaxis - x cais The ordered - (a). Height of balloon (in meters) time passed (in minutes) pales can be identified as- To I Go a 200 (6). Slope of line- Slope of line - Yo-Y da- Here, the points are (,13.) = (x2, I₂) = (0,200) (6o,o) I Therefore, Therefore, Slope - 0-2 00 Goo - 200 Go | Slope = -10 ~ [ Slope = -3.34) (C). Unit od Slope - Unit of slope = Unit of y.anis Unit of a-axis = meters minutes Therefore, Junir of Slope = meters (minbrer (d) The slope of the line represents that the height of the belloon is decreasing at the rate of -10 meters [minute of -3.34 meters/minute,

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