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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

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

[tex]4\frac{5}{8}[/tex] inches

Step-by-step explanation:

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

Plant grew [tex]2\frac{5}{8}[/tex] inches or [tex]\frac{21}{8}[/tex] inches per month.

So after one month height of the plant = [tex]\frac{x+21}{8}[/tex] inches

Height of the plant after one month = [tex]7\frac{1}{4}[/tex] or [tex]\frac{29}{4}[/tex] inches

So expression will be

[tex]\frac{x+21}{8}[/tex] =  [tex]\frac{29}{4}[/tex]

We further solve it    x =  [tex]\frac{29}{4}[/tex] -  [tex]\frac{21}{8}[/tex]

                                    =  [tex]\frac{58-21}{8}[/tex]

                                   =  [tex]\frac{37}{8}[/tex]

                           or x  =  [tex]4\frac{5}{8}[/tex] inches

therefore, initial of the plant was [tex]4\frac{5}{8}[/tex] inches height.

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