Question

A city council keeps track of the number of developed residential and commercial properties in the town limits. The number of residential properties, r(t), is increasing over time. The number of commercial properties, c(t), is decreasing over time. Drag each statement to show whether it is true, not true, or if it cannot be determined from the given information. 1) True 2) Not True 3) Cannot be determined

Answer 1

The number of residential properties is increasing over time, while the number of commercial properties is decreasing over time. The specific rates of change cannot be determined from the given information.

Step-by-step explanation:

1) True

Reason: The statement is true because the number of residential properties is increasing over time, so the rate of change of r(t) is positive.

2) True

Reason: The statement is true because the number of commercial properties is decreasing over time, so the rate of change of c(t) is negative.

3) Cannot be determined

Reason: The given information does not provide any details about the specific rates of change of r(t) and c(t), so it is not possible to determine the exact rates of change.