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Devonte is growing a rose. Today the rose is 5 cm high. The rose grow$ 1.5 cm per day. Write a linear equation that represents the helght of the rose (y) after (2) days. How tall will the rose be after 20 days?

Devonte is growing a rose. Today the rose is 5 cm high. The rose grow$ 1.5 cm per-example-1

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The equation of a line in slope-intercept form, is:


y=mx+b

Where m represents the slope of the line (rate of change), and b represents the y-intercept of the line (initial value).

Since the rose grows 1.5 cm per day, then the rate of change is 1.5:


m=1.5

Since today the rose is 5cm high, then the initial value is 5:


b=5

Then, the height of the rose after x days is:


y=1.5x+5

To find the height of the rose after 20 days, substitute x=20:


\begin{gathered} y=1.5(20)+5 \\ =30+5 \\ =35 \end{gathered}

Then, the height of the rose after 20 days is 35 cm.

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