contestada

The length of a vine is predicted to increase by 36 inches each week. The vine is currently 12 feet. In how many weeks will the vine reach a predicted length of 33 feet?

Respuesta :

calculista

Answer:

[tex]7\ weeks[/tex]

Step-by-step explanation:

Let

x------> the number of weeks

y-----> the length of a vine

Remember that

[tex]1\ ft=12\ in[/tex]

so

Convert the measures in feet

[tex]36\ in=36/12=3\ ft[/tex]

we know that

The linear equation that represent this situation is equal to

[tex]y=3x+12[/tex]

For [tex]y=33\ ft[/tex]

substitute in the linear equation and solve for x

[tex]33=3x+12[/tex]

[tex]3x=33-12[/tex]

[tex]3x=21[/tex]

[tex]x=21/3=7\ weeks[/tex]

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