Answer: [tex]y=1.5d+5[/tex]
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
[tex]y=mx+b[/tex]
Where "m" is the slope of the line and "b" is the y-intercept.
According to the information given in the exercise, you know that:
1. The height of Lynn's plant today is 5 centimeters.
Then, you can determine that that is the y-intercept. So:
[tex]b=5[/tex]
2. Lynn's plant grows on average 1.5 centimeters per day.
You can notice that that growth is constant, which means that this will be the slope of the line. Then:
[tex]m=1.5[/tex]
Finally, you get that the linear equation that represents the height of Lynnn's plant after "d" days, written in Slope-Intercept form, is the following:
[tex]y=1.5d+5[/tex]
