Question

A scientist is studying the growth of a radicus plant. The plant has an initial height of 20cm and grows at a rate of 4% monthly. Part A: Write an equation to model the growth of the plant. Part B: Find the height of the plant after 5 months.

Answer 1

Step-by-step explanation:

A) Given the initial height of plant = 20cm

Percent increase monthly = 4%

increment after x month = (4% of 20)x

increment after x month = (0.04*20)x

increment after x month = 0.8x

The height after x month = initial height + increment

The height after x month = 20 + 0.8x

Hence an equation that model the growth of the plant is 20+0.8x

B) To get the height of the plant after 5 months, we will substitute x = 5 into the modeled equation in A as shown;

H(x) = 20+0.8x

H(5) = 20 +0.8(5)

H(5) = 20+4

H(5) = 24cm

hence the height of the plant after 5minths is 24cm