Question

(06.04 HC)

Every week William collects a few pounds of plastic bags to recycle. The graph below shows the total number of pounds of plastic bags (y) that William collected in a certain amount of time (x), in weeks:
What would most likely be the total amount of plastic, in pounds, William would collect in 10 weeks?
340
400
440
540

Answer 1

He starts off with 40 pounds then he adds another 40 pounds each week
so after 10 weeks he will most likely have 40 + 10(40) = 440 pounds of bags.

Answer 2

440

Explanation:

Given :

Time (x) No. of pounds(y)

0 40

1 80

2 120

3 160

4 200

Now find the equation of line using two point slope form.

Formula:
`y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)`

`(x_1,y_1)=(0,40)`

`(x_2,y_2)=(1,80)`

Substitute the values in the formula

`y-40=(80-40)/(1-0)(x-0)`

`y-40=40x`

`y=40x+40`

Now we are supposed to find the total amount of plastic, in pounds, William would collect in 10 weeks.

So, substitute x =10

`y=40(10)+40`

`y=440`

Hence the total amount of plastic, in pounds, William would collect in 10 weeks is 440.