Question

Joe is tracking the progress of his plant's growth. Today the plant is 5 cm high. The plant grows 1.5 cm per day.

A. M=1.5, B=5, X=20, Y=?
B. M=1.5, B=5, X=20, Y=35
C. M=5, B=1.5, X=20, Y=?
D. M=5, B=1.5, X=20, Y=25

Answer 1

The correct answer is Option B: After 20 days, the plant will be 35 cm tall. The growth can be calculated using the linear equation Y = 1.5*20 + 5, resulting in Y = 35 cm.

Step-by-step explanation:

Joe is tracking the growth of his plant, which can be expressed using a linear equation, Y = M*X + B, where M is the rate of growth per day, B is the initial height, X is the number of days, and Y is the final height of the plant.

Given that the rate of growth is 1.5 cm per day (M = 1.5), and the initial height today is 5 cm (B = 5), we want to determine the height (Y) of the plant after 20 days (X = 20).

To find Y, we use the equation: Y = M*X + B. Substituting the values we get: Y = 1.5*20 + 5, which results in Y = 30 + 5, so Y = 35 cm. This means that Option B is correct: M=1.5, B=5, X=20, Y=35.