Question

In the table about plant growth, what constant rate of change occurs? Explain what this rate of change means
in terms of growth. Include measurement labels.

Answer 1

Answer/Step-by-step explanation:

The constant rate of change that occurs can be calculated using the formula, $\frac{y_2 - y_1}{x_2 - x_1}$

Let any 2 given pair values represent (x, y).

Thus, let's use (3, 3) and (5, 4.5)

Let (3, 3) = (x1, y1)

(5, 4.5) = (x2, y2)

Rate of change = $\frac{4.5 - 3}{5 - 3} = \frac{1.5}{2}$

Rate of change = 0.75

The rate of change, 0.75, means in terms of growth, the height of the plant increases by 0.75 inches every week.