Question

23. The table below shows the number of sheets of paper in various numbers of packages. Graph the data. 6.RP 36 24. The cost of various numbers of tickets to a festival is shown in the table. Graph the data. Then find the slope of the line. Explain what the slope represents. 6.RP 3D Number of Packages 1 2 3 4 Number of Sheets 50 100 150 200 Number of Tickets 5 10 20 25 Cost ($ 40 80 160 200 250 200 250 у 150 200 Number of Sheets 100 150 Cost ($) 50 100 50 0 1 2 3 4 5 Number of Packages 0 5 10 15 20 25 30 Number of Tickets our answer

Answer 1

Part 1

Let

x -----> the packages

y -----> the number of sheet of paper

we have the ordered pairs

(1,50) (2,100) (3,150) (4,200)

Find the slope

To find the slope we need two points

I take (1,50) (2,100)

substitute in the formula of slope

m=(y2-y1)/(x2-x1)

m=100-50)/(2-1)

m=50/1

m=50

The slope means ------> 50 sheet of paper per one package (unit rate)

Using a graphing tool

graph the line

see the attached figure

Part 2

Let

x ------> number of tickets

y ------> the cost

we have the ordered pairs

(5,40) (10,80) (20,160) (25,200)

Find the slope

To find the slope we need two points

I take (5,40) (10,80)

m=(80-40)/(10-5)

m=40/5

m=8

The slope means -------> the cost of one ticket is $8

Using a graphing tool

graph the line

see the attached figure