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]
