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(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

0604 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 coll class=

Respuesta :

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:

440

Step-by-step 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: [tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex](x_1,y_1)=(0,40)[/tex]

[tex](x_2,y_2)=(1,80)[/tex]

Substitute the values in the formula

[tex]y-40=\frac{80-40}{1-0}(x-0)[/tex]

[tex]y-40=40x[/tex]

[tex]y=40x+40[/tex]

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

So, substitute x =10

[tex]y=40(10)+40[/tex]

[tex]y=440[/tex]

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

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