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The table shows the amount of milk that Wisconsin dairy farms produced from 1937 to 1968. Which model best fits this data? Note that the year 1900 corresponds to x=0.
Year Milk Produced (in
billions of Ibs.)
1937 12
1968 16
1995 20

y=0.138x-6.819
y=-0.138x-6.819
y=0.138x+6.819
y=-0.138+6.819

Respuesta :

annabellaconnerty4

Answer:

y=0.138x+6.819

Step-by-step explanation:

I got it right on the quiz. I wasn't sure of the answer but I gave a guess and it was right.

boffeemadrid

The linear equation representing the situation is required.

The correct option is [tex]y=0.138x+6.819[/tex].

The ordered pairs are

[tex](37,12)(68,16)(95,20)[/tex]

Let us check the ordered pairs with each equation

[tex]y=0.138x-6.819[/tex]

[tex](37,12)[/tex]

[tex]0.138\times 37-6.819=260.487\neq 12[/tex]

First option is incorrect

[tex]y=-0.138x-6.819[/tex]

[tex](37,12)[/tex]

[tex]-0.138\times 37-6.819=-11.925\neq 12[/tex]

Second option is incorrect

[tex]y=0.138x+6.819[/tex]

[tex](37,12)[/tex]

[tex]0.138\times 37+6.819=11.925\approx 12[/tex]

[tex](68,16)[/tex]

[tex]0.138\times 68+6.819=16.203\approx 16[/tex]

[tex](95,20)[/tex]

[tex]0.138\times 95+6.819=19.929\approx 20[/tex]

The correct option is [tex]y=0.138x+6.819[/tex].

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