Question

jackson is tracking the progress of his plants growth. today, the plant is 5 cm high. the plant grows 1.5 cm per day. write an equation to help you solve the following question: what will the height of the plant be after 20 days? 35cm
which equations represents the number of squares in any given figure? (use the image below to help guide you)

Explanation:

Step1: Define the linear equation

The height of the plant can be modeled by a linear equation of the form \( h = h_0 + rt \), where \( h_0 \) is the initial height, \( r \) is the growth rate per day, and \( t \) is the number of days. Here, \( h_0 = 5 \) cm, \( r = 1.5 \) cm/day, and \( t = 20 \) days.

Step2: Substitute the values into the equation

Substitute \( h_0 = 5 \), \( r = 1.5 \), and \( t = 20 \) into \( h = h_0 + rt \). So \( h = 5 + 1.5\times20 \).

Step3: Calculate the result

First, calculate \( 1.5\times20 = 30 \). Then, add the initial height: \( 5 + 30 = 35 \).

Answer:

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