Question

You went on a 4 hour bike ride. The linear function y=15x represents the distance y, in miles, you have traveled x hours during your 4 our bike ride.

Is the Domain of this function Discrete or Cotinuous?

Answer 1

The domain of the linear function y=15x, representing distance traveled during a 4-hour bike ride, is continuous.

Step-by-step explanation:

The linear function y=15x represents the distance you have traveled during your 4-hour bike ride. In this function, the variable x represents the number of hours that have passed, and the variable y represents the distance traveled in miles.

The domain of a function refers to the set of all possible inputs (or x-values) for the function. In this case, since x represents the number of hours, the domain of the function would be the set of all possible values of x, such as 0, 1, 2, 3, and 4.

Since the function y=15x is defined for all values of x within the range 0 to 4 (the duration of the bike ride), the domain of this function is continuous.