Question

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?

Answer 1

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.