Every week sarah collects a few pounds of cans to recycle. the graph below shows the total number of pounds of cans (y) that sarah collected in a certain amount of time (x), in weeks:

a graph titled can recycling is shown with labels in x axis and y axis as number of weeks and amount of cans collected in pounds, respectively. the values on the x axis are from 0 to 5 at increments of 1, and the values on the y axis are from 0 to 100 with increments of 20. dots are made at 0, 20 and 1, 40 and 2, 60 and 3, 80 and 4, 100. a straight line joins the ordered pairs 0, 20 and 4,100.

what would most likely be the total amount of cans, in pounds, sarah would collect in 10 weeks?

200
220
320
420

The amount of cans, in pounds,Sarah would collect in 10 weeks is:

                                  220

The x and y value as according to the information are as follows:

        x (Number of weeks)        y(Amount of cans collected)

                 0                                         20

                  1                                          40

                  2                                         60

                  3                                         80

                  4                                        100

Hence, we see that with each increasing weeks the number of cans collected increased by a constant rate i.e. 20

The equation that represent these points are:

                      y=20(x+1)

Now we have to calculate the value of y when x=10

when x=10 we have:

         y=20(10+1)

         y=20×11

         y=220

Hence, the answer is:  220

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional