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

beth 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 beth has swum, in meters, during m minutes of practicing. what is the range of d(m)? all real numbers from 0 to 20 all whole numbers from 0 to 20 all real numbers from 0 to 1,500 all whole numbers from 0 to 1,500

beth 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 beth has swum, in meters, during m minutes of practicing. what is the range of d(m)? all real numbers from 0 to 20 all whole numbers from 0 to 20 all real numbers from 0 to 1,500 all whole numbers from 0 to 1,500

Answer

Explanation:

Step1: Determine the function

The distance function is ( D(m)=75m ), where ( m ) is the time in minutes. The time ( m ) ranges from 0 (start of practice) to 20 (end of practice), so ( 0\leq m\leq20 ).

Step2: Find the range

Substitute the minimum and maximum values of ( m ) into ( D(m) ). When ( m = 0 ), ( D(0)=75\times0 = 0 ). When ( m = 20 ), ( D(20)=75\times20=1500 ). Since ( m ) can be any real number (including decimals) between 0 and 20 (as time can be a fraction of a minute during practice), ( D(m) ) will be any real number between 0 and 1500.

Answer:

all real numbers from 0 to 1,500