Question

Use the following graph for #4-7

Graph B:
distance from post in feet
Day:
20 40 60 80 100 120 140 160
time in seconds
4. What is the domain for Graph B
a. All positive real numbers less than 160
b. All real numbers less than 160
c. All positive integers less than 160
d. All integers less than 160 d

Answer 1

The domain of Graph B is 'All positive integers less than 160' since it represents measured distances at discrete intervals of time, implying whole number values of time up to 160 seconds.

Step-by-step explanation:

To determine the domain of Graph B, which represents the distance from a post in feet over time in seconds, we need to look at the values of the independent variable that the function includes. In this case, the independent variable is time in seconds.

Since the graph includes values starting from 20 feet up to 160 feet (as mentioned in the question), it indicates the times at which a measurement is taken, which are real numbers within this range.

However, since time cannot be negative in this context and the distances are specified at discrete time intervals (days), the appropriate domain would be the set of all positive integers less than 160.

This would exclude non-integer values and negative numbers. Therefore, the correct answer to this question would be option c, which is 'All positive integers less than 160'.