Question

Terrell's plant grew 2 5/8 inches in one month, and it is 7 1/4 inches tall. Write and solve an equation to find the height of the plant at the start of the month. Show that your answer is reasonable. Thanks

Answer 1

Here you go, hope it's right. The top one is the equation and the bottom one is the work to get the answer.

Answer 2

`4(5)/(8)` inches

Explanation:

Let initial length of the plant was "x" inches.

Plant grew
`2(5)/(8)` inches or
`(21)/(8)` inches per month.

So after one month height of the plant =
`(x+21)/(8)` inches

Height of the plant after one month =
`7(1)/(4)` or
`(29)/(4)` inches

So expression will be

`(x+21)/(8)` =
`(29)/(4)`

We further solve it x =
`(29)/(4)` -
`(21)/(8)`

=
`(58-21)/(8)`

=
`(37)/(8)`

or x =
`4(5)/(8)` inches

therefore, initial of the plant was
`4(5)/(8)` inches height.