Question

In January, 7 tulips bloom in a garden. In February, 18 tulips bloom. Find the rate of change

Answer 1

Rate of change is change in y over change in x which is represented by the following equation: \(\dfrac{\triangle{y}}{\triangle{x}} = \dfrac{y_2 - y_1}{x_2- x_1}\)

In this case, we let x represent months and y represent # of tulips in a garden within a given month.


In this case we set up the following chart:

x = months:
January = 0 = \(x_1\)
February = 1 = \(x_2\)

y = number of tulips in the garden on a given month:
# of Tulips in the garden in January = 7 = \(y_1\)
# of Tulips in the garden in February = 18 = \(y_2\)

To find the rate of change, simply plug the given values in to the right side of the equation and simplify.

Answer 2

@lol13