Question

Lin is tracking the progress of her plant's growth. Today the plant is

5 cm high. The plant grows 1.5 cm per day.
a. Write a linear model that represents the height of the plant after d
days.
(Equation)
b. What will the height of the plant be after 20 days?

Answer 1

a. The linear model that represents the height of the plant after d days can be expressed as:

h(d) = 1.5d + 5

where h(d) is the height of the plant in centimeters after d days, and 1.5d represents the growth rate of 1.5 cm per day multiplied by the number of days (d). The constant term 5 represents the initial height of the plant, which is 5 cm.

b. To find the height of the plant after 20 days, we can substitute d = 20 into the linear model:

h(20) = 1.5(20) + 5

= 30 + 5

= 35

So, the height of the plant after 20 days will be 35 cm.