A plant starts out at 12 inches tall and grows 1 inch per week. Write an equation for this situation. What is the slope? Is the slope continuous or discrete? Explain.

h (t) = 12 inches + (1 inch/week) t; continuous

Step-by-step explanation:

This situation can be described with a linear function. The initial value of the plant height is 12 inches, and the weekly growth is 1 inch/week.

Thus, if h (t) represents the plant height at the end of the t-th week,

h (t) = 12 inches + (1 inch/week) t

The slope is 1 inch/week, and is continuous, since plan growth is continuous.