tiana is a member of the school swim team, and she specializes in distance events. today at practice, she…

tiana is a member of the school swim team, and she specializes in distance events. today at practice, she plans to swim for 20 minutes at a constant speed of 75 meters per minute. the function ( d(m) ) represents the total distance tiana has swum, in meters, during ( m ) minutes of practicing. what is the domain of ( d(m) )? all real numbers from 0 to 20 all whole numbers from 0 to 20 all whole numbers from 0 to 75 all real numbers from 0 to 75

tiana is a member of the school swim team, and she specializes in distance events. today at practice, she plans to swim for 20 minutes at a constant speed of 75 meters per minute. the function ( d(m) ) represents the total distance tiana has swum, in meters, during ( m ) minutes of practicing. what is the domain of ( d(m) )? all real numbers from 0 to 20 all whole numbers from 0 to 20 all whole numbers from 0 to 75 all real numbers from 0 to 75

Answer

Answer:

A. all real numbers from 0 to 20

Explanation:

Step1: Understand the domain concept

The domain of a function is the set of all possible input values.

Step2: Analyze the context

Tiana swims for (m) minutes. Time (m) can take any value (including fractions like (m = 5.5) minutes) within the interval from (m = 0) (start of practice) to (m=20) (end of planned practice). Since time is a continuous quantity in this context (not restricted to just whole - number of minutes for the function (D(m)) which models the distance over time), the domain is all real numbers (m) such that (0\leq m\leq20).