Question

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?

Answer 1

`7\ weeks`

Explanation:

Let

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

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

Remember that

`1\ ft=12\ in`

so

Convert the measures in feet

`36\ in=36/12=3\ ft`

we know that

The linear equation that represent this situation is equal to

`y=3x+12`

For
`y=33\ ft`

substitute in the linear equation and solve for x

`33=3x+12`

`3x=33-12`

`3x=21`

`x=21/3=7\ weeks`